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Finding the Fourth Proportional to 305,046.68, 457,549.93 and 105,369.92

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Solution

The fourth proportional to 305,046.68, 457,549.93 and 105,369.92 is: 158,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,046.68 : 457,549.93 = 105,369.92 : x
  2. Step 2: Convert to fraction form
    305,046.68/457,549.93 = 105,369.92/x
  3. Step 3: Cross multiply
    305,046.68x = 457,549.93 × 105,369.92
  4. Step 4: Simplify right side
    305,046.68x = 48,211,996,968.93
  5. Step 5: Solve for x
    x = 48,211,996,968.93/305,046.68
  6. Step 6: Final answer
    x = 158,047.93

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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.