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Finding the Fourth Proportional to 191,048.25, 286,178.50 and 111,922.59

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Solution

The fourth proportional to 191,048.25, 286,178.50 and 111,922.59 is: 167,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,048.25 : 286,178.50 = 111,922.59 : x
  2. Step 2: Convert to fraction form
    191,048.25/286,178.50 = 111,922.59/x
  3. Step 3: Cross multiply
    191,048.25x = 286,178.50 × 111,922.59
  4. Step 4: Simplify right side
    191,048.25x = 32,029,838,922.32
  5. Step 5: Solve for x
    x = 32,029,838,922.32/191,048.25
  6. Step 6: Final answer
    x = 167,653.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.