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Finding the Fourth Proportional to 106,053.32, 146,354.57 and 58,307

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Solution

The fourth proportional to 106,053.32, 146,354.57 and 58,307 is: 80,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.32 : 146,354.57 = 58,307 : x
  2. Step 2: Convert to fraction form
    106,053.32/146,354.57 = 58,307/x
  3. Step 3: Cross multiply
    106,053.32x = 146,354.57 × 58,307
  4. Step 4: Simplify right side
    106,053.32x = 8,533,495,621.46
  5. Step 5: Solve for x
    x = 8,533,495,621.46/106,053.32
  6. Step 6: Final answer
    x = 80,464.20

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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.