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Finding the Fourth Proportional to 119,547.87, 164,972.45 and 65,833.18

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Solution

The fourth proportional to 119,547.87, 164,972.45 and 65,833.18 is: 90,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,547.87 : 164,972.45 = 65,833.18 : x
  2. Step 2: Convert to fraction form
    119,547.87/164,972.45 = 65,833.18/x
  3. Step 3: Cross multiply
    119,547.87x = 164,972.45 × 65,833.18
  4. Step 4: Simplify right side
    119,547.87x = 10,860,660,995.89
  5. Step 5: Solve for x
    x = 10,860,660,995.89/119,547.87
  6. Step 6: Final answer
    x = 90,847.80

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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.