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Finding the Fourth Proportional to 189,842.60, 284,742.30 and 49,615.40

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Solution

The fourth proportional to 189,842.60, 284,742.30 and 49,615.40 is: 74,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,842.60 : 284,742.30 = 49,615.40 : x
  2. Step 2: Convert to fraction form
    189,842.60/284,742.30 = 49,615.40/x
  3. Step 3: Cross multiply
    189,842.60x = 284,742.30 × 49,615.40
  4. Step 4: Simplify right side
    189,842.60x = 14,127,603,111.42
  5. Step 5: Solve for x
    x = 14,127,603,111.42/189,842.60
  6. Step 6: Final answer
    x = 74,417.45

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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.