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Finding the Fourth Proportional to 345,265.16, 517,975.01 and 105,400.38

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Solution

The fourth proportional to 345,265.16, 517,975.01 and 105,400.38 is: 158,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,265.16 : 517,975.01 = 105,400.38 : x
  2. Step 2: Convert to fraction form
    345,265.16/517,975.01 = 105,400.38/x
  3. Step 3: Cross multiply
    345,265.16x = 517,975.01 × 105,400.38
  4. Step 4: Simplify right side
    345,265.16x = 54,594,762,357.50
  5. Step 5: Solve for x
    x = 54,594,762,357.50/345,265.16
  6. Step 6: Final answer
    x = 158,124.16

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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.