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Finding the Fourth Proportional to 151,672.38, 209,307.68 and 83,689.33

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Solution

The fourth proportional to 151,672.38, 209,307.68 and 83,689.33 is: 115,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,672.38 : 209,307.68 = 83,689.33 : x
  2. Step 2: Convert to fraction form
    151,672.38/209,307.68 = 83,689.33/x
  3. Step 3: Cross multiply
    151,672.38x = 209,307.68 × 83,689.33
  4. Step 4: Simplify right side
    151,672.38x = 17,516,818,038.07
  5. Step 5: Solve for x
    x = 17,516,818,038.07/151,672.38
  6. Step 6: Final answer
    x = 115,491.16

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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.