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Finding the Fourth Proportional to 102,436, 141,361.68 and 55,332

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Solution

The fourth proportional to 102,436, 141,361.68 and 55,332 is: 76,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,436 : 141,361.68 = 55,332 : x
  2. Step 2: Convert to fraction form
    102,436/141,361.68 = 55,332/x
  3. Step 3: Cross multiply
    102,436x = 141,361.68 × 55,332
  4. Step 4: Simplify right side
    102,436x = 7,821,824,477.76
  5. Step 5: Solve for x
    x = 7,821,824,477.76/102,436
  6. Step 6: Final answer
    x = 76,358.16

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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.