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Finding the Fourth Proportional to 282,271.74, 423,318.42 and 92,700.87

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Solution

The fourth proportional to 282,271.74, 423,318.42 and 92,700.87 is: 139,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,271.74 : 423,318.42 = 92,700.87 : x
  2. Step 2: Convert to fraction form
    282,271.74/423,318.42 = 92,700.87/x
  3. Step 3: Cross multiply
    282,271.74x = 423,318.42 × 92,700.87
  4. Step 4: Simplify right side
    282,271.74x = 39,241,985,821.03
  5. Step 5: Solve for x
    x = 39,241,985,821.03/282,271.74
  6. Step 6: Final answer
    x = 139,022.01

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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.