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Finding the Fourth Proportional to 175,495, 242,184.06 and 96,007

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Solution

The fourth proportional to 175,495, 242,184.06 and 96,007 is: 132,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,495 : 242,184.06 = 96,007 : x
  2. Step 2: Convert to fraction form
    175,495/242,184.06 = 96,007/x
  3. Step 3: Cross multiply
    175,495x = 242,184.06 × 96,007
  4. Step 4: Simplify right side
    175,495x = 23,251,365,048.42
  5. Step 5: Solve for x
    x = 23,251,365,048.42/175,495
  6. Step 6: Final answer
    x = 132,490.19

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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.