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Finding the Fourth Proportional to 142,561, 213,841.50 and 44,065

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Solution

The fourth proportional to 142,561, 213,841.50 and 44,065 is: 66,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,561 : 213,841.50 = 44,065 : x
  2. Step 2: Convert to fraction form
    142,561/213,841.50 = 44,065/x
  3. Step 3: Cross multiply
    142,561x = 213,841.50 × 44,065
  4. Step 4: Simplify right side
    142,561x = 9,422,925,697.50
  5. Step 5: Solve for x
    x = 9,422,925,697.50/142,561
  6. Step 6: Final answer
    x = 66,097.50

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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.