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Finding the Fourth Proportional to 268,497.40, 402,285.30 and 127,953.40

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Solution

The fourth proportional to 268,497.40, 402,285.30 and 127,953.40 is: 191,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,497.40 : 402,285.30 = 127,953.40 : x
  2. Step 2: Convert to fraction form
    268,497.40/402,285.30 = 127,953.40/x
  3. Step 3: Cross multiply
    268,497.40x = 402,285.30 × 127,953.40
  4. Step 4: Simplify right side
    268,497.40x = 51,473,771,905.02
  5. Step 5: Solve for x
    x = 51,473,771,905.02/268,497.40
  6. Step 6: Final answer
    x = 191,710.50

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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.