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Finding the Fourth Proportional to 177,465.70, 265,929.20 and 130,112.32

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Solution

The fourth proportional to 177,465.70, 265,929.20 and 130,112.32 is: 194,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,465.70 : 265,929.20 = 130,112.32 : x
  2. Step 2: Convert to fraction form
    177,465.70/265,929.20 = 130,112.32/x
  3. Step 3: Cross multiply
    177,465.70x = 265,929.20 × 130,112.32
  4. Step 4: Simplify right side
    177,465.70x = 34,600,665,167.74
  5. Step 5: Solve for x
    x = 34,600,665,167.74/177,465.70
  6. Step 6: Final answer
    x = 194,971.00

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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.