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Finding the Fourth Proportional to 295,152.33, 407,278.80 and 166,088.55

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Solution

The fourth proportional to 295,152.33, 407,278.80 and 166,088.55 is: 229,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,152.33 : 407,278.80 = 166,088.55 : x
  2. Step 2: Convert to fraction form
    295,152.33/407,278.80 = 166,088.55/x
  3. Step 3: Cross multiply
    295,152.33x = 407,278.80 × 166,088.55
  4. Step 4: Simplify right side
    295,152.33x = 67,644,345,337.74
  5. Step 5: Solve for x
    x = 67,644,345,337.74/295,152.33
  6. Step 6: Final answer
    x = 229,184.52

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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.