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Finding the Fourth Proportional to 195,689.60, 293,459.88 and 83,298.88

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Solution

The fourth proportional to 195,689.60, 293,459.88 and 83,298.88 is: 124,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,689.60 : 293,459.88 = 83,298.88 : x
  2. Step 2: Convert to fraction form
    195,689.60/293,459.88 = 83,298.88/x
  3. Step 3: Cross multiply
    195,689.60x = 293,459.88 × 83,298.88
  4. Step 4: Simplify right side
    195,689.60x = 24,444,879,328.93
  5. Step 5: Solve for x
    x = 24,444,879,328.93/195,689.60
  6. Step 6: Final answer
    x = 124,916.60

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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.