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Finding the Fourth Proportional to 177,465.95, 265,929.57 and 130,112.57

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Solution

The fourth proportional to 177,465.95, 265,929.57 and 130,112.57 is: 194,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,465.95 : 265,929.57 = 130,112.57 : x
  2. Step 2: Convert to fraction form
    177,465.95/265,929.57 = 130,112.57/x
  3. Step 3: Cross multiply
    177,465.95x = 265,929.57 × 130,112.57
  4. Step 4: Simplify right side
    177,465.95x = 34,600,778,462.05
  5. Step 5: Solve for x
    x = 34,600,778,462.05/177,465.95
  6. Step 6: Final answer
    x = 194,971.37

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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.