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Finding the Fourth Proportional to 106,142, 146,466.36 and 58,397.36

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Solution

The fourth proportional to 106,142, 146,466.36 and 58,397.36 is: 80,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,142 : 146,466.36 = 58,397.36 : x
  2. Step 2: Convert to fraction form
    106,142/146,466.36 = 58,397.36/x
  3. Step 3: Cross multiply
    106,142x = 146,466.36 × 58,397.36
  4. Step 4: Simplify right side
    106,142x = 8,553,248,752.81
  5. Step 5: Solve for x
    x = 8,553,248,752.81/106,142
  6. Step 6: Final answer
    x = 80,583.08

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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.