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Finding the Fourth Proportional to 182,140.65, 273,210.98 and 178,641.45

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Solution

The fourth proportional to 182,140.65, 273,210.98 and 178,641.45 is: 267,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,140.65 : 273,210.98 = 178,641.45 : x
  2. Step 2: Convert to fraction form
    182,140.65/273,210.98 = 178,641.45/x
  3. Step 3: Cross multiply
    182,140.65x = 273,210.98 × 178,641.45
  4. Step 4: Simplify right side
    182,140.65x = 48,806,804,729.91
  5. Step 5: Solve for x
    x = 48,806,804,729.91/182,140.65
  6. Step 6: Final answer
    x = 267,962.18

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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.