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Finding the Fourth Proportional to 211,044.80, 317,344.80 and 176,830.40

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Solution

The fourth proportional to 211,044.80, 317,344.80 and 176,830.40 is: 265,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,044.80 : 317,344.80 = 176,830.40 : x
  2. Step 2: Convert to fraction form
    211,044.80/317,344.80 = 176,830.40/x
  3. Step 3: Cross multiply
    211,044.80x = 317,344.80 × 176,830.40
  4. Step 4: Simplify right side
    211,044.80x = 56,116,207,921.92
  5. Step 5: Solve for x
    x = 56,116,207,921.92/211,044.80
  6. Step 6: Final answer
    x = 265,897.14

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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.