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Finding the Fourth Proportional to 268,005.53, 369,848.35 and 147,154.65

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Solution

The fourth proportional to 268,005.53, 369,848.35 and 147,154.65 is: 203,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,005.53 : 369,848.35 = 147,154.65 : x
  2. Step 2: Convert to fraction form
    268,005.53/369,848.35 = 147,154.65/x
  3. Step 3: Cross multiply
    268,005.53x = 369,848.35 × 147,154.65
  4. Step 4: Simplify right side
    268,005.53x = 54,424,903,294.34
  5. Step 5: Solve for x
    x = 54,424,903,294.34/268,005.53
  6. Step 6: Final answer
    x = 203,073.81

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Why These Related Problems?

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