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Finding the Fourth Proportional to 145,841.88, 201,247.02 and 84,567

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Solution

The fourth proportional to 145,841.88, 201,247.02 and 84,567 is: 116,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,841.88 : 201,247.02 = 84,567 : x
  2. Step 2: Convert to fraction form
    145,841.88/201,247.02 = 84,567/x
  3. Step 3: Cross multiply
    145,841.88x = 201,247.02 × 84,567
  4. Step 4: Simplify right side
    145,841.88x = 17,018,856,740.34
  5. Step 5: Solve for x
    x = 17,018,856,740.34/145,841.88
  6. Step 6: Final answer
    x = 116,693.89

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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.