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Finding the Fourth Proportional to 261,577.97, 360,965.28 and 145,298.98

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Solution

The fourth proportional to 261,577.97, 360,965.28 and 145,298.98 is: 200,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,577.97 : 360,965.28 = 145,298.98 : x
  2. Step 2: Convert to fraction form
    261,577.97/360,965.28 = 145,298.98/x
  3. Step 3: Cross multiply
    261,577.97x = 360,965.28 × 145,298.98
  4. Step 4: Simplify right side
    261,577.97x = 52,447,886,999.41
  5. Step 5: Solve for x
    x = 52,447,886,999.41/261,577.97
  6. Step 6: Final answer
    x = 200,505.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.