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Finding the Fourth Proportional to 153,693.86, 212,098.46 and 85,715.16

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Solution

The fourth proportional to 153,693.86, 212,098.46 and 85,715.16 is: 118,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,693.86 : 212,098.46 = 85,715.16 : x
  2. Step 2: Convert to fraction form
    153,693.86/212,098.46 = 85,715.16/x
  3. Step 3: Cross multiply
    153,693.86x = 212,098.46 × 85,715.16
  4. Step 4: Simplify right side
    153,693.86x = 18,180,053,434.65
  5. Step 5: Solve for x
    x = 18,180,053,434.65/153,693.86
  6. Step 6: Final answer
    x = 118,287.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.