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Finding the Fourth Proportional to 261,006.61, 360,214.40 and 146,304.73

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Solution

The fourth proportional to 261,006.61, 360,214.40 and 146,304.73 is: 201,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,006.61 : 360,214.40 = 146,304.73 : x
  2. Step 2: Convert to fraction form
    261,006.61/360,214.40 = 146,304.73/x
  3. Step 3: Cross multiply
    261,006.61x = 360,214.40 × 146,304.73
  4. Step 4: Simplify right side
    261,006.61x = 52,701,070,534.11
  5. Step 5: Solve for x
    x = 52,701,070,534.11/261,006.61
  6. Step 6: Final answer
    x = 201,914.70

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1.5x scale

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.