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Finding the Fourth Proportional to 132,617, 198,925.50 and 45,065

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Solution

The fourth proportional to 132,617, 198,925.50 and 45,065 is: 67,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,617 : 198,925.50 = 45,065 : x
  2. Step 2: Convert to fraction form
    132,617/198,925.50 = 45,065/x
  3. Step 3: Cross multiply
    132,617x = 198,925.50 × 45,065
  4. Step 4: Simplify right side
    132,617x = 8,964,577,657.50
  5. Step 5: Solve for x
    x = 8,964,577,657.50/132,617
  6. Step 6: Final answer
    x = 67,597.50

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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.