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Finding the Fourth Proportional to 103,141, 142,334.58 and 58,429

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Solution

The fourth proportional to 103,141, 142,334.58 and 58,429 is: 80,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,141 : 142,334.58 = 58,429 : x
  2. Step 2: Convert to fraction form
    103,141/142,334.58 = 58,429/x
  3. Step 3: Cross multiply
    103,141x = 142,334.58 × 58,429
  4. Step 4: Simplify right side
    103,141x = 8,316,467,174.82
  5. Step 5: Solve for x
    x = 8,316,467,174.82/103,141
  6. Step 6: Final answer
    x = 80,632.02

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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.