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Finding the Fourth Proportional to 106,116.66, 146,437.90 and 58,370

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Solution

The fourth proportional to 106,116.66, 146,437.90 and 58,370 is: 80,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.66 : 146,437.90 = 58,370 : x
  2. Step 2: Convert to fraction form
    106,116.66/146,437.90 = 58,370/x
  3. Step 3: Cross multiply
    106,116.66x = 146,437.90 × 58,370
  4. Step 4: Simplify right side
    106,116.66x = 8,547,580,223
  5. Step 5: Solve for x
    x = 8,547,580,223/106,116.66
  6. Step 6: Final answer
    x = 80,548.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.