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Finding the Fourth Proportional to 153,809.40, 230,714.10 and 153,809.40

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Solution

The fourth proportional to 153,809.40, 230,714.10 and 153,809.40 is: 230,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,809.40 : 230,714.10 = 153,809.40 : x
  2. Step 2: Convert to fraction form
    153,809.40/230,714.10 = 153,809.40/x
  3. Step 3: Cross multiply
    153,809.40x = 230,714.10 × 153,809.40
  4. Step 4: Simplify right side
    153,809.40x = 35,485,997,292.54
  5. Step 5: Solve for x
    x = 35,485,997,292.54/153,809.40
  6. Step 6: Final answer
    x = 230,714.10

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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.