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Finding the Fourth Proportional to 309,955.16, 465,112.10 and 130,024.46

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Solution

The fourth proportional to 309,955.16, 465,112.10 and 130,024.46 is: 195,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,955.16 : 465,112.10 = 130,024.46 : x
  2. Step 2: Convert to fraction form
    309,955.16/465,112.10 = 130,024.46/x
  3. Step 3: Cross multiply
    309,955.16x = 465,112.10 × 130,024.46
  4. Step 4: Simplify right side
    309,955.16x = 60,475,949,641.97
  5. Step 5: Solve for x
    x = 60,475,949,641.97/309,955.16
  6. Step 6: Final answer
    x = 195,111.93

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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.