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Finding the Fourth Proportional to 261,630.39, 361,045.35 and 146,909.95

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Solution

The fourth proportional to 261,630.39, 361,045.35 and 146,909.95 is: 202,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,630.39 : 361,045.35 = 146,909.95 : x
  2. Step 2: Convert to fraction form
    261,630.39/361,045.35 = 146,909.95/x
  3. Step 3: Cross multiply
    261,630.39x = 361,045.35 × 146,909.95
  4. Step 4: Simplify right side
    261,630.39x = 53,041,154,316.23
  5. Step 5: Solve for x
    x = 53,041,154,316.23/261,630.39
  6. Step 6: Final answer
    x = 202,733.15

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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.