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Finding the Fourth Proportional to 177,296.76, 265,867.38 and 66,411

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Solution

The fourth proportional to 177,296.76, 265,867.38 and 66,411 is: 99,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,296.76 : 265,867.38 = 66,411 : x
  2. Step 2: Convert to fraction form
    177,296.76/265,867.38 = 66,411/x
  3. Step 3: Cross multiply
    177,296.76x = 265,867.38 × 66,411
  4. Step 4: Simplify right side
    177,296.76x = 17,656,518,573.18
  5. Step 5: Solve for x
    x = 17,656,518,573.18/177,296.76
  6. Step 6: Final answer
    x = 99,587.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.