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Finding the Fourth Proportional to 291,261.42, 402,065.16 and 195,823.50

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Solution

The fourth proportional to 291,261.42, 402,065.16 and 195,823.50 is: 270,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,261.42 : 402,065.16 = 195,823.50 : x
  2. Step 2: Convert to fraction form
    291,261.42/402,065.16 = 195,823.50/x
  3. Step 3: Cross multiply
    291,261.42x = 402,065.16 × 195,823.50
  4. Step 4: Simplify right side
    291,261.42x = 78,733,806,859.26
  5. Step 5: Solve for x
    x = 78,733,806,859.26/291,261.42
  6. Step 6: Final answer
    x = 270,320.07

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