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Finding the Fourth Proportional to 240,178.32, 360,212.64 and 90,434.40

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Solution

The fourth proportional to 240,178.32, 360,212.64 and 90,434.40 is: 135,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,178.32 : 360,212.64 = 90,434.40 : x
  2. Step 2: Convert to fraction form
    240,178.32/360,212.64 = 90,434.40/x
  3. Step 3: Cross multiply
    240,178.32x = 360,212.64 × 90,434.40
  4. Step 4: Simplify right side
    240,178.32x = 32,575,613,970.82
  5. Step 5: Solve for x
    x = 32,575,613,970.82/240,178.32
  6. Step 6: Final answer
    x = 135,630.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.