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Finding the Fourth Proportional to 153,827.20, 214,833.20 and 153,827.20

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Solution

The fourth proportional to 153,827.20, 214,833.20 and 153,827.20 is: 214,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,827.20 : 214,833.20 = 153,827.20 : x
  2. Step 2: Convert to fraction form
    153,827.20/214,833.20 = 153,827.20/x
  3. Step 3: Cross multiply
    153,827.20x = 214,833.20 × 153,827.20
  4. Step 4: Simplify right side
    153,827.20x = 33,047,189,623.04
  5. Step 5: Solve for x
    x = 33,047,189,623.04/153,827.20
  6. Step 6: Final answer
    x = 214,833.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.