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Finding the Fourth Proportional to 341,348.16, 511,977.29 and 101,456.94

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Solution

The fourth proportional to 341,348.16, 511,977.29 and 101,456.94 is: 152,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,348.16 : 511,977.29 = 101,456.94 : x
  2. Step 2: Convert to fraction form
    341,348.16/511,977.29 = 101,456.94/x
  3. Step 3: Cross multiply
    341,348.16x = 511,977.29 × 101,456.94
  4. Step 4: Simplify right side
    341,348.16x = 51,943,648,685.61
  5. Step 5: Solve for x
    x = 51,943,648,685.61/341,348.16
  6. Step 6: Final answer
    x = 152,172.05

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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.