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Finding the Fourth Proportional to 191,430.78, 286,644.51 and 134,965.20

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Solution

The fourth proportional to 191,430.78, 286,644.51 and 134,965.20 is: 202,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,430.78 : 286,644.51 = 134,965.20 : x
  2. Step 2: Convert to fraction form
    191,430.78/286,644.51 = 134,965.20/x
  3. Step 3: Cross multiply
    191,430.78x = 286,644.51 × 134,965.20
  4. Step 4: Simplify right side
    191,430.78x = 38,687,033,621.05
  5. Step 5: Solve for x
    x = 38,687,033,621.05/191,430.78
  6. Step 6: Final answer
    x = 202,094.11

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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.