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Finding the Fourth Proportional to 187,533, 281,299.50 and 56,205

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Solution

The fourth proportional to 187,533, 281,299.50 and 56,205 is: 84,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,533 : 281,299.50 = 56,205 : x
  2. Step 2: Convert to fraction form
    187,533/281,299.50 = 56,205/x
  3. Step 3: Cross multiply
    187,533x = 281,299.50 × 56,205
  4. Step 4: Simplify right side
    187,533x = 15,810,438,397.50
  5. Step 5: Solve for x
    x = 15,810,438,397.50/187,533
  6. Step 6: Final answer
    x = 84,307.50

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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.