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Finding the Fourth Proportional to 175,648, 242,394.24 and 96,160

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Solution

The fourth proportional to 175,648, 242,394.24 and 96,160 is: 132,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,648 : 242,394.24 = 96,160 : x
  2. Step 2: Convert to fraction form
    175,648/242,394.24 = 96,160/x
  3. Step 3: Cross multiply
    175,648x = 242,394.24 × 96,160
  4. Step 4: Simplify right side
    175,648x = 23,308,630,118.40
  5. Step 5: Solve for x
    x = 23,308,630,118.40/175,648
  6. Step 6: Final answer
    x = 132,700.80

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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.