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Finding the Fourth Proportional to 177,298, 265,985.88 and 59,054.20

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Solution

The fourth proportional to 177,298, 265,985.88 and 59,054.20 is: 88,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,298 : 265,985.88 = 59,054.20 : x
  2. Step 2: Convert to fraction form
    177,298/265,985.88 = 59,054.20/x
  3. Step 3: Cross multiply
    177,298x = 265,985.88 × 59,054.20
  4. Step 4: Simplify right side
    177,298x = 15,707,583,354.70
  5. Step 5: Solve for x
    x = 15,707,583,354.70/177,298
  6. Step 6: Final answer
    x = 88,594.25

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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.