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Finding the Fourth Proportional to 292,785.16, 404,071.86 and 179,681.80

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Solution

The fourth proportional to 292,785.16, 404,071.86 and 179,681.80 is: 247,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,785.16 : 404,071.86 = 179,681.80 : x
  2. Step 2: Convert to fraction form
    292,785.16/404,071.86 = 179,681.80/x
  3. Step 3: Cross multiply
    292,785.16x = 404,071.86 × 179,681.80
  4. Step 4: Simplify right side
    292,785.16x = 72,604,359,134.15
  5. Step 5: Solve for x
    x = 72,604,359,134.15/292,785.16
  6. Step 6: Final answer
    x = 247,978.28

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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.