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Finding the Fourth Proportional to 278,024.16, 417,165.84 and 165,699.84

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Solution

The fourth proportional to 278,024.16, 417,165.84 and 165,699.84 is: 248,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,024.16 : 417,165.84 = 165,699.84 : x
  2. Step 2: Convert to fraction form
    278,024.16/417,165.84 = 165,699.84/x
  3. Step 3: Cross multiply
    278,024.16x = 417,165.84 × 165,699.84
  4. Step 4: Simplify right side
    278,024.16x = 69,124,312,941.47
  5. Step 5: Solve for x
    x = 69,124,312,941.47/278,024.16
  6. Step 6: Final answer
    x = 248,627.00

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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.