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Finding the Fourth Proportional to 292,565.58, 438,771.84 and 82,154.34

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Solution

The fourth proportional to 292,565.58, 438,771.84 and 82,154.34 is: 123,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,565.58 : 438,771.84 = 82,154.34 : x
  2. Step 2: Convert to fraction form
    292,565.58/438,771.84 = 82,154.34/x
  3. Step 3: Cross multiply
    292,565.58x = 438,771.84 × 82,154.34
  4. Step 4: Simplify right side
    292,565.58x = 36,047,010,925.79
  5. Step 5: Solve for x
    x = 36,047,010,925.79/292,565.58
  6. Step 6: Final answer
    x = 123,210.02

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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.