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Finding the Fourth Proportional to 107,254.80, 160,929.72 and 37,184.40

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Solution

The fourth proportional to 107,254.80, 160,929.72 and 37,184.40 is: 55,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,254.80 : 160,929.72 = 37,184.40 : x
  2. Step 2: Convert to fraction form
    107,254.80/160,929.72 = 37,184.40/x
  3. Step 3: Cross multiply
    107,254.80x = 160,929.72 × 37,184.40
  4. Step 4: Simplify right side
    107,254.80x = 5,984,075,080.37
  5. Step 5: Solve for x
    x = 5,984,075,080.37/107,254.80
  6. Step 6: Final answer
    x = 55,793.07

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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.