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Finding the Fourth Proportional to 259,583.76, 358,221.96 and 146,442.96

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Solution

The fourth proportional to 259,583.76, 358,221.96 and 146,442.96 is: 202,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,583.76 : 358,221.96 = 146,442.96 : x
  2. Step 2: Convert to fraction form
    259,583.76/358,221.96 = 146,442.96/x
  3. Step 3: Cross multiply
    259,583.76x = 358,221.96 × 146,442.96
  4. Step 4: Simplify right side
    259,583.76x = 52,459,084,159.40
  5. Step 5: Solve for x
    x = 52,459,084,159.40/259,583.76
  6. Step 6: Final answer
    x = 202,089.24

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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.