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Finding the Fourth Proportional to 99,144, 136,820.88 and 54,432

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Solution

The fourth proportional to 99,144, 136,820.88 and 54,432 is: 75,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,144 : 136,820.88 = 54,432 : x
  2. Step 2: Convert to fraction form
    99,144/136,820.88 = 54,432/x
  3. Step 3: Cross multiply
    99,144x = 136,820.88 × 54,432
  4. Step 4: Simplify right side
    99,144x = 7,447,434,140.16
  5. Step 5: Solve for x
    x = 7,447,434,140.16/99,144
  6. Step 6: Final answer
    x = 75,117.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.