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Finding the Fourth Proportional to 312,468.71, 468,727.35 and 102,127.91

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Solution

The fourth proportional to 312,468.71, 468,727.35 and 102,127.91 is: 153,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,468.71 : 468,727.35 = 102,127.91 : x
  2. Step 2: Convert to fraction form
    312,468.71/468,727.35 = 102,127.91/x
  3. Step 3: Cross multiply
    312,468.71x = 468,727.35 × 102,127.91
  4. Step 4: Simplify right side
    312,468.71x = 47,870,142,271.70
  5. Step 5: Solve for x
    x = 47,870,142,271.70/312,468.71
  6. Step 6: Final answer
    x = 153,199.80

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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.