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Finding the Fourth Proportional to 137,248.69, 205,889.64 and 48,484.03

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Solution

The fourth proportional to 137,248.69, 205,889.64 and 48,484.03 is: 72,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,248.69 : 205,889.64 = 48,484.03 : x
  2. Step 2: Convert to fraction form
    137,248.69/205,889.64 = 48,484.03/x
  3. Step 3: Cross multiply
    137,248.69x = 205,889.64 × 48,484.03
  4. Step 4: Simplify right side
    137,248.69x = 9,982,359,482.45
  5. Step 5: Solve for x
    x = 9,982,359,482.45/137,248.69
  6. Step 6: Final answer
    x = 72,731.91

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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.