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Finding the Fourth Proportional to 177,061, 265,643.52 and 52,405.24

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Solution

The fourth proportional to 177,061, 265,643.52 and 52,405.24 is: 78,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,061 : 265,643.52 = 52,405.24 : x
  2. Step 2: Convert to fraction form
    177,061/265,643.52 = 52,405.24/x
  3. Step 3: Cross multiply
    177,061x = 265,643.52 × 52,405.24
  4. Step 4: Simplify right side
    177,061x = 13,921,112,420.04
  5. Step 5: Solve for x
    x = 13,921,112,420.04/177,061
  6. Step 6: Final answer
    x = 78,623.26

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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.