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Finding the Fourth Proportional to 307,018.13, 460,543.59 and 96,672.47

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Solution

The fourth proportional to 307,018.13, 460,543.59 and 96,672.47 is: 145,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,018.13 : 460,543.59 = 96,672.47 : x
  2. Step 2: Convert to fraction form
    307,018.13/460,543.59 = 96,672.47/x
  3. Step 3: Cross multiply
    307,018.13x = 460,543.59 × 96,672.47
  4. Step 4: Simplify right side
    307,018.13x = 44,521,884,085.25
  5. Step 5: Solve for x
    x = 44,521,884,085.25/307,018.13
  6. Step 6: Final answer
    x = 145,013.86

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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.