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Finding the Fourth Proportional to 176,120, 242,885.20 and 148,953

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Solution

The fourth proportional to 176,120, 242,885.20 and 148,953 is: 205,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,120 : 242,885.20 = 148,953 : x
  2. Step 2: Convert to fraction form
    176,120/242,885.20 = 148,953/x
  3. Step 3: Cross multiply
    176,120x = 242,885.20 × 148,953
  4. Step 4: Simplify right side
    176,120x = 36,178,479,195.60
  5. Step 5: Solve for x
    x = 36,178,479,195.60/176,120
  6. Step 6: Final answer
    x = 205,419.48

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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.