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Finding the Fourth Proportional to 151,533.17, 209,065 and 97,854.47

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Solution

The fourth proportional to 151,533.17, 209,065 and 97,854.47 is: 135,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,533.17 : 209,065 = 97,854.47 : x
  2. Step 2: Convert to fraction form
    151,533.17/209,065 = 97,854.47/x
  3. Step 3: Cross multiply
    151,533.17x = 209,065 × 97,854.47
  4. Step 4: Simplify right side
    151,533.17x = 20,457,944,770.55
  5. Step 5: Solve for x
    x = 20,457,944,770.55/151,533.17
  6. Step 6: Final answer
    x = 135,006.38

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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.