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Finding the Fourth Proportional to 178,175, 245,881.50 and 98,687

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Solution

The fourth proportional to 178,175, 245,881.50 and 98,687 is: 136,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,175 : 245,881.50 = 98,687 : x
  2. Step 2: Convert to fraction form
    178,175/245,881.50 = 98,687/x
  3. Step 3: Cross multiply
    178,175x = 245,881.50 × 98,687
  4. Step 4: Simplify right side
    178,175x = 24,265,307,590.50
  5. Step 5: Solve for x
    x = 24,265,307,590.50/178,175
  6. Step 6: Final answer
    x = 136,188.06

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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.