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Finding the Fourth Proportional to 191,409.51, 287,114.37 and 86,105.46

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Solution

The fourth proportional to 191,409.51, 287,114.37 and 86,105.46 is: 129,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,409.51 : 287,114.37 = 86,105.46 : x
  2. Step 2: Convert to fraction form
    191,409.51/287,114.37 = 86,105.46/x
  3. Step 3: Cross multiply
    191,409.51x = 287,114.37 × 86,105.46
  4. Step 4: Simplify right side
    191,409.51x = 24,722,114,901.46
  5. Step 5: Solve for x
    x = 24,722,114,901.46/191,409.51
  6. Step 6: Final answer
    x = 129,158.24

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1.5x scale

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.