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Finding the Fourth Proportional to 468,702.34, 703,089.96 and 153,191.14

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Solution

The fourth proportional to 468,702.34, 703,089.96 and 153,191.14 is: 229,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,702.34 : 703,089.96 = 153,191.14 : x
  2. Step 2: Convert to fraction form
    468,702.34/703,089.96 = 153,191.14/x
  3. Step 3: Cross multiply
    468,702.34x = 703,089.96 × 153,191.14
  4. Step 4: Simplify right side
    468,702.34x = 107,707,150,737.23
  5. Step 5: Solve for x
    x = 107,707,150,737.23/468,702.34
  6. Step 6: Final answer
    x = 229,798.62

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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.