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Finding the Fourth Proportional to 265,981.14, 398,854.98 and 99,652.50

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Solution

The fourth proportional to 265,981.14, 398,854.98 and 99,652.50 is: 149,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,981.14 : 398,854.98 = 99,652.50 : x
  2. Step 2: Convert to fraction form
    265,981.14/398,854.98 = 99,652.50/x
  3. Step 3: Cross multiply
    265,981.14x = 398,854.98 × 99,652.50
  4. Step 4: Simplify right side
    265,981.14x = 39,746,895,894.45
  5. Step 5: Solve for x
    x = 39,746,895,894.45/265,981.14
  6. Step 6: Final answer
    x = 149,435.02

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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.