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Finding the Fourth Proportional to 190,854.60, 286,281.90 and 48,699.60

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Solution

The fourth proportional to 190,854.60, 286,281.90 and 48,699.60 is: 73,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,854.60 : 286,281.90 = 48,699.60 : x
  2. Step 2: Convert to fraction form
    190,854.60/286,281.90 = 48,699.60/x
  3. Step 3: Cross multiply
    190,854.60x = 286,281.90 × 48,699.60
  4. Step 4: Simplify right side
    190,854.60x = 13,941,814,017.24
  5. Step 5: Solve for x
    x = 13,941,814,017.24/190,854.60
  6. Step 6: Final answer
    x = 73,049.40

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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.