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Finding the Fourth Proportional to 190,854.30, 286,281.45 and 85,878.30

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Solution

The fourth proportional to 190,854.30, 286,281.45 and 85,878.30 is: 128,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,854.30 : 286,281.45 = 85,878.30 : x
  2. Step 2: Convert to fraction form
    190,854.30/286,281.45 = 85,878.30/x
  3. Step 3: Cross multiply
    190,854.30x = 286,281.45 × 85,878.30
  4. Step 4: Simplify right side
    190,854.30x = 24,585,364,247.54
  5. Step 5: Solve for x
    x = 24,585,364,247.54/190,854.30
  6. Step 6: Final answer
    x = 128,817.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.