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Finding the Fourth Proportional to 188,271.32, 282,347.16 and 61,882.40

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Solution

The fourth proportional to 188,271.32, 282,347.16 and 61,882.40 is: 92,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,271.32 : 282,347.16 = 61,882.40 : x
  2. Step 2: Convert to fraction form
    188,271.32/282,347.16 = 61,882.40/x
  3. Step 3: Cross multiply
    188,271.32x = 282,347.16 × 61,882.40
  4. Step 4: Simplify right side
    188,271.32x = 17,472,319,893.98
  5. Step 5: Solve for x
    x = 17,472,319,893.98/188,271.32
  6. Step 6: Final answer
    x = 92,803.94

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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.