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Finding the Fourth Proportional to 99,102.93, 148,677.09 and 42,952.44

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Solution

The fourth proportional to 99,102.93, 148,677.09 and 42,952.44 is: 64,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,102.93 : 148,677.09 = 42,952.44 : x
  2. Step 2: Convert to fraction form
    99,102.93/148,677.09 = 42,952.44/x
  3. Step 3: Cross multiply
    99,102.93x = 148,677.09 × 42,952.44
  4. Step 4: Simplify right side
    99,102.93x = 6,386,043,787.60
  5. Step 5: Solve for x
    x = 6,386,043,787.60/99,102.93
  6. Step 6: Final answer
    x = 64,438.50

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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.