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Finding the Fourth Proportional to 292,178.80, 403,207.37 and 164,854.50

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Solution

The fourth proportional to 292,178.80, 403,207.37 and 164,854.50 is: 227,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,178.80 : 403,207.37 = 164,854.50 : x
  2. Step 2: Convert to fraction form
    292,178.80/403,207.37 = 164,854.50/x
  3. Step 3: Cross multiply
    292,178.80x = 403,207.37 × 164,854.50
  4. Step 4: Simplify right side
    292,178.80x = 66,470,549,377.67
  5. Step 5: Solve for x
    x = 66,470,549,377.67/292,178.80
  6. Step 6: Final answer
    x = 227,499.56

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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.