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Finding the Fourth Proportional to 182,583.60, 273,978.54 and 98,341.98

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Solution

The fourth proportional to 182,583.60, 273,978.54 and 98,341.98 is: 147,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,583.60 : 273,978.54 = 98,341.98 : x
  2. Step 2: Convert to fraction form
    182,583.60/273,978.54 = 98,341.98/x
  3. Step 3: Cross multiply
    182,583.60x = 273,978.54 × 98,341.98
  4. Step 4: Simplify right side
    182,583.60x = 26,943,592,101.11
  5. Step 5: Solve for x
    x = 26,943,592,101.11/182,583.60
  6. Step 6: Final answer
    x = 147,568.52

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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.