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Finding the Fourth Proportional to 265,253, 398,045.34 and 107,482.28

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Solution

The fourth proportional to 265,253, 398,045.34 and 107,482.28 is: 161,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,253 : 398,045.34 = 107,482.28 : x
  2. Step 2: Convert to fraction form
    265,253/398,045.34 = 107,482.28/x
  3. Step 3: Cross multiply
    265,253x = 398,045.34 × 107,482.28
  4. Step 4: Simplify right side
    265,253x = 42,782,820,686.58
  5. Step 5: Solve for x
    x = 42,782,820,686.58/265,253
  6. Step 6: Final answer
    x = 161,290.62

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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.