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Finding the Fourth Proportional to 275,359.19, 413,038.80 and 97,873.20

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Solution

The fourth proportional to 275,359.19, 413,038.80 and 97,873.20 is: 146,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,359.19 : 413,038.80 = 97,873.20 : x
  2. Step 2: Convert to fraction form
    275,359.19/413,038.80 = 97,873.20/x
  3. Step 3: Cross multiply
    275,359.19x = 413,038.80 × 97,873.20
  4. Step 4: Simplify right side
    275,359.19x = 40,425,429,080.16
  5. Step 5: Solve for x
    x = 40,425,429,080.16/275,359.19
  6. Step 6: Final answer
    x = 146,809.81

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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.