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Finding the Fourth Proportional to 114,070.83, 171,130.34 and 42,991.96

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Solution

The fourth proportional to 114,070.83, 171,130.34 and 42,991.96 is: 64,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,070.83 : 171,130.34 = 42,991.96 : x
  2. Step 2: Convert to fraction form
    114,070.83/171,130.34 = 42,991.96/x
  3. Step 3: Cross multiply
    114,070.83x = 171,130.34 × 42,991.96
  4. Step 4: Simplify right side
    114,070.83x = 7,357,228,944.93
  5. Step 5: Solve for x
    x = 7,357,228,944.93/114,070.83
  6. Step 6: Final answer
    x = 64,497.02

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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.