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Finding the Fourth Proportional to 151,526.52, 209,113.74 and 84,459

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Solution

The fourth proportional to 151,526.52, 209,113.74 and 84,459 is: 116,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,526.52 : 209,113.74 = 84,459 : x
  2. Step 2: Convert to fraction form
    151,526.52/209,113.74 = 84,459/x
  3. Step 3: Cross multiply
    151,526.52x = 209,113.74 × 84,459
  4. Step 4: Simplify right side
    151,526.52x = 17,661,537,366.66
  5. Step 5: Solve for x
    x = 17,661,537,366.66/151,526.52
  6. Step 6: Final answer
    x = 116,557.40

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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.