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Finding the Fourth Proportional to 147,235.59, 220,919.00 and 77,098.50

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Solution

The fourth proportional to 147,235.59, 220,919.00 and 77,098.50 is: 115,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,235.59 : 220,919.00 = 77,098.50 : x
  2. Step 2: Convert to fraction form
    147,235.59/220,919.00 = 77,098.50/x
  3. Step 3: Cross multiply
    147,235.59x = 220,919.00 × 77,098.50
  4. Step 4: Simplify right side
    147,235.59x = 17,032,523,136.01
  5. Step 5: Solve for x
    x = 17,032,523,136.01/147,235.59
  6. Step 6: Final answer
    x = 115,682.11

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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.