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Finding the Fourth Proportional to 283,154.32, 390,590.44 and 176,986

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Solution

The fourth proportional to 283,154.32, 390,590.44 and 176,986 is: 244,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,154.32 : 390,590.44 = 176,986 : x
  2. Step 2: Convert to fraction form
    283,154.32/390,590.44 = 176,986/x
  3. Step 3: Cross multiply
    283,154.32x = 390,590.44 × 176,986
  4. Step 4: Simplify right side
    283,154.32x = 69,129,039,613.84
  5. Step 5: Solve for x
    x = 69,129,039,613.84/283,154.32
  6. Step 6: Final answer
    x = 244,139.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.