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Finding the Fourth Proportional to 176,897.80, 264,909.30 and 117,411.40

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Solution

The fourth proportional to 176,897.80, 264,909.30 and 117,411.40 is: 175,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,897.80 : 264,909.30 = 117,411.40 : x
  2. Step 2: Convert to fraction form
    176,897.80/264,909.30 = 117,411.40/x
  3. Step 3: Cross multiply
    176,897.80x = 264,909.30 × 117,411.40
  4. Step 4: Simplify right side
    176,897.80x = 31,103,371,786.02
  5. Step 5: Solve for x
    x = 31,103,371,786.02/176,897.80
  6. Step 6: Final answer
    x = 175,826.79

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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.