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Finding the Fourth Proportional to 273,070.76, 409,653.05 and 83,526.53

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Solution

The fourth proportional to 273,070.76, 409,653.05 and 83,526.53 is: 125,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,070.76 : 409,653.05 = 83,526.53 : x
  2. Step 2: Convert to fraction form
    273,070.76/409,653.05 = 83,526.53/x
  3. Step 3: Cross multiply
    273,070.76x = 409,653.05 × 83,526.53
  4. Step 4: Simplify right side
    273,070.76x = 34,216,895,304.52
  5. Step 5: Solve for x
    x = 34,216,895,304.52/273,070.76
  6. Step 6: Final answer
    x = 125,304.14

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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.