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Finding the Fourth Proportional to 177,225.08, 265,837.62 and 52,565

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Solution

The fourth proportional to 177,225.08, 265,837.62 and 52,565 is: 78,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,225.08 : 265,837.62 = 52,565 : x
  2. Step 2: Convert to fraction form
    177,225.08/265,837.62 = 52,565/x
  3. Step 3: Cross multiply
    177,225.08x = 265,837.62 × 52,565
  4. Step 4: Simplify right side
    177,225.08x = 13,973,754,495.30
  5. Step 5: Solve for x
    x = 13,973,754,495.30/177,225.08
  6. Step 6: Final answer
    x = 78,847.50

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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.