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Finding the Fourth Proportional to 195,854.34, 293,746.14 and 89,213.52

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Solution

The fourth proportional to 195,854.34, 293,746.14 and 89,213.52 is: 133,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,854.34 : 293,746.14 = 89,213.52 : x
  2. Step 2: Convert to fraction form
    195,854.34/293,746.14 = 89,213.52/x
  3. Step 3: Cross multiply
    195,854.34x = 293,746.14 × 89,213.52
  4. Step 4: Simplify right side
    195,854.34x = 26,206,127,135.81
  5. Step 5: Solve for x
    x = 26,206,127,135.81/195,854.34
  6. Step 6: Final answer
    x = 133,804.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.