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Finding the Fourth Proportional to 106,411.16, 146,848.38 and 58,666.22

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Solution

The fourth proportional to 106,411.16, 146,848.38 and 58,666.22 is: 80,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.16 : 146,848.38 = 58,666.22 : x
  2. Step 2: Convert to fraction form
    106,411.16/146,848.38 = 58,666.22/x
  3. Step 3: Cross multiply
    106,411.16x = 146,848.38 × 58,666.22
  4. Step 4: Simplify right side
    106,411.16x = 8,615,038,633.48
  5. Step 5: Solve for x
    x = 8,615,038,633.48/106,411.16
  6. Step 6: Final answer
    x = 80,959.92

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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.