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Finding the Fourth Proportional to 119,549.22, 164,978.40 and 71,803.38

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Solution

The fourth proportional to 119,549.22, 164,978.40 and 71,803.38 is: 99,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,549.22 : 164,978.40 = 71,803.38 : x
  2. Step 2: Convert to fraction form
    119,549.22/164,978.40 = 71,803.38/x
  3. Step 3: Cross multiply
    119,549.22x = 164,978.40 × 71,803.38
  4. Step 4: Simplify right side
    119,549.22x = 11,846,006,746.99
  5. Step 5: Solve for x
    x = 11,846,006,746.99/119,549.22
  6. Step 6: Final answer
    x = 99,088.95

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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.