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Finding the Fourth Proportional to 465,043.94, 697,569.70 and 128,103.18

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Solution

The fourth proportional to 465,043.94, 697,569.70 and 128,103.18 is: 192,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,043.94 : 697,569.70 = 128,103.18 : x
  2. Step 2: Convert to fraction form
    465,043.94/697,569.70 = 128,103.18/x
  3. Step 3: Cross multiply
    465,043.94x = 697,569.70 × 128,103.18
  4. Step 4: Simplify right side
    465,043.94x = 89,360,896,841.65
  5. Step 5: Solve for x
    x = 89,360,896,841.65/465,043.94
  6. Step 6: Final answer
    x = 192,155.81

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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.