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Finding the Fourth Proportional to 282,323.70, 423,031.95 and 149,030.10

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Solution

The fourth proportional to 282,323.70, 423,031.95 and 149,030.10 is: 223,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,323.70 : 423,031.95 = 149,030.10 : x
  2. Step 2: Convert to fraction form
    282,323.70/423,031.95 = 149,030.10/x
  3. Step 3: Cross multiply
    282,323.70x = 423,031.95 × 149,030.10
  4. Step 4: Simplify right side
    282,323.70x = 63,044,493,811.70
  5. Step 5: Solve for x
    x = 63,044,493,811.70/282,323.70
  6. Step 6: Final answer
    x = 223,305.71

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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.