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Finding the Fourth Proportional to 106,114.66, 146,435.14 and 58,368

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Solution

The fourth proportional to 106,114.66, 146,435.14 and 58,368 is: 80,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.66 : 146,435.14 = 58,368 : x
  2. Step 2: Convert to fraction form
    106,114.66/146,435.14 = 58,368/x
  3. Step 3: Cross multiply
    106,114.66x = 146,435.14 × 58,368
  4. Step 4: Simplify right side
    106,114.66x = 8,547,126,251.52
  5. Step 5: Solve for x
    x = 8,547,126,251.52/106,114.66
  6. Step 6: Final answer
    x = 80,546.14

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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.