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Finding the Fourth Proportional to 219,854.57, 302,984.65 and 176,197.53

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Solution

The fourth proportional to 219,854.57, 302,984.65 and 176,197.53 is: 242,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,854.57 : 302,984.65 = 176,197.53 : x
  2. Step 2: Convert to fraction form
    219,854.57/302,984.65 = 176,197.53/x
  3. Step 3: Cross multiply
    219,854.57x = 302,984.65 × 176,197.53
  4. Step 4: Simplify right side
    219,854.57x = 53,385,145,160.98
  5. Step 5: Solve for x
    x = 53,385,145,160.98/219,854.57
  6. Step 6: Final answer
    x = 242,820.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.