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Finding the Fourth Proportional to 153,714.61, 230,562.60 and 57,632.86

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Solution

The fourth proportional to 153,714.61, 230,562.60 and 57,632.86 is: 86,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714.61 : 230,562.60 = 57,632.86 : x
  2. Step 2: Convert to fraction form
    153,714.61/230,562.60 = 57,632.86/x
  3. Step 3: Cross multiply
    153,714.61x = 230,562.60 × 57,632.86
  4. Step 4: Simplify right side
    153,714.61x = 13,287,982,047.04
  5. Step 5: Solve for x
    x = 13,287,982,047.04/153,714.61
  6. Step 6: Final answer
    x = 86,445.80

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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.