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Finding the Fourth Proportional to 153,187.32, 229,810.14 and 47,978.04

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Solution

The fourth proportional to 153,187.32, 229,810.14 and 47,978.04 is: 71,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,187.32 : 229,810.14 = 47,978.04 : x
  2. Step 2: Convert to fraction form
    153,187.32/229,810.14 = 47,978.04/x
  3. Step 3: Cross multiply
    153,187.32x = 229,810.14 × 47,978.04
  4. Step 4: Simplify right side
    153,187.32x = 11,025,840,089.33
  5. Step 5: Solve for x
    x = 11,025,840,089.33/153,187.32
  6. Step 6: Final answer
    x = 71,976.19

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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.