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Finding the Fourth Proportional to 282,148.68, 389,389.36 and 154,848.88

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Solution

The fourth proportional to 282,148.68, 389,389.36 and 154,848.88 is: 213,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,148.68 : 389,389.36 = 154,848.88 : x
  2. Step 2: Convert to fraction form
    282,148.68/389,389.36 = 154,848.88/x
  3. Step 3: Cross multiply
    282,148.68x = 389,389.36 × 154,848.88
  4. Step 4: Simplify right side
    282,148.68x = 60,296,506,279.92
  5. Step 5: Solve for x
    x = 60,296,506,279.92/282,148.68
  6. Step 6: Final answer
    x = 213,704.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.