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Finding the Fourth Proportional to 105,886.71, 146,122.65 and 58,139.64

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Solution

The fourth proportional to 105,886.71, 146,122.65 and 58,139.64 is: 80,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,886.71 : 146,122.65 = 58,139.64 : x
  2. Step 2: Convert to fraction form
    105,886.71/146,122.65 = 58,139.64/x
  3. Step 3: Cross multiply
    105,886.71x = 146,122.65 × 58,139.64
  4. Step 4: Simplify right side
    105,886.71x = 8,495,518,266.85
  5. Step 5: Solve for x
    x = 8,495,518,266.85/105,886.71
  6. Step 6: Final answer
    x = 80,232.15

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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.