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Finding the Fourth Proportional to 207,031.80, 310,547.70 and 144,046.20

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Solution

The fourth proportional to 207,031.80, 310,547.70 and 144,046.20 is: 216,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,031.80 : 310,547.70 = 144,046.20 : x
  2. Step 2: Convert to fraction form
    207,031.80/310,547.70 = 144,046.20/x
  3. Step 3: Cross multiply
    207,031.80x = 310,547.70 × 144,046.20
  4. Step 4: Simplify right side
    207,031.80x = 44,733,216,103.74
  5. Step 5: Solve for x
    x = 44,733,216,103.74/207,031.80
  6. Step 6: Final answer
    x = 216,069.30

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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.