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Finding the Fourth Proportional to 265,122.84, 397,678.87 and 65,444.96

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Solution

The fourth proportional to 265,122.84, 397,678.87 and 65,444.96 is: 98,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,122.84 : 397,678.87 = 65,444.96 : x
  2. Step 2: Convert to fraction form
    265,122.84/397,678.87 = 65,444.96/x
  3. Step 3: Cross multiply
    265,122.84x = 397,678.87 × 65,444.96
  4. Step 4: Simplify right side
    265,122.84x = 26,026,075,833.41
  5. Step 5: Solve for x
    x = 26,026,075,833.41/265,122.84
  6. Step 6: Final answer
    x = 98,166.10

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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.