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Finding the Fourth Proportional to 170,609.64, 255,970.98 and 52,282.08

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Solution

The fourth proportional to 170,609.64, 255,970.98 and 52,282.08 is: 78,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,609.64 : 255,970.98 = 52,282.08 : x
  2. Step 2: Convert to fraction form
    170,609.64/255,970.98 = 52,282.08/x
  3. Step 3: Cross multiply
    170,609.64x = 255,970.98 × 52,282.08
  4. Step 4: Simplify right side
    170,609.64x = 13,382,695,254.04
  5. Step 5: Solve for x
    x = 13,382,695,254.04/170,609.64
  6. Step 6: Final answer
    x = 78,440.44

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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.