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Finding the Fourth Proportional to 153,805.52, 230,685.24 and 127,678.16

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Solution

The fourth proportional to 153,805.52, 230,685.24 and 127,678.16 is: 191,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,805.52 : 230,685.24 = 127,678.16 : x
  2. Step 2: Convert to fraction form
    153,805.52/230,685.24 = 127,678.16/x
  3. Step 3: Cross multiply
    153,805.52x = 230,685.24 × 127,678.16
  4. Step 4: Simplify right side
    153,805.52x = 29,453,466,982.36
  5. Step 5: Solve for x
    x = 29,453,466,982.36/153,805.52
  6. Step 6: Final answer
    x = 191,498.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.