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Finding the Fourth Proportional to 268,506.40, 402,298.80 and 127,962.40

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Solution

The fourth proportional to 268,506.40, 402,298.80 and 127,962.40 is: 191,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,506.40 : 402,298.80 = 127,962.40 : x
  2. Step 2: Convert to fraction form
    268,506.40/402,298.80 = 127,962.40/x
  3. Step 3: Cross multiply
    268,506.40x = 402,298.80 × 127,962.40
  4. Step 4: Simplify right side
    268,506.40x = 51,479,119,965.12
  5. Step 5: Solve for x
    x = 51,479,119,965.12/268,506.40
  6. Step 6: Final answer
    x = 191,724.00

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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.