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Finding the Fourth Proportional to 142,484.52, 213,775.90 and 63,653.16

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Solution

The fourth proportional to 142,484.52, 213,775.90 and 63,653.16 is: 95,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,484.52 : 213,775.90 = 63,653.16 : x
  2. Step 2: Convert to fraction form
    142,484.52/213,775.90 = 63,653.16/x
  3. Step 3: Cross multiply
    142,484.52x = 213,775.90 × 63,653.16
  4. Step 4: Simplify right side
    142,484.52x = 13,607,511,566.84
  5. Step 5: Solve for x
    x = 13,607,511,566.84/142,484.52
  6. Step 6: Final answer
    x = 95,501.68

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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.