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Finding the Fourth Proportional to 191,138.64, 286,742.52 and 78,756.34

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Solution

The fourth proportional to 191,138.64, 286,742.52 and 78,756.34 is: 118,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138.64 : 286,742.52 = 78,756.34 : x
  2. Step 2: Convert to fraction form
    191,138.64/286,742.52 = 78,756.34/x
  3. Step 3: Cross multiply
    191,138.64x = 286,742.52 × 78,756.34
  4. Step 4: Simplify right side
    191,138.64x = 22,582,791,397.58
  5. Step 5: Solve for x
    x = 22,582,791,397.58/191,138.64
  6. Step 6: Final answer
    x = 118,148.75

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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.