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Finding the Fourth Proportional to 232,486.30, 320,830.93 and 130,511.96

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Solution

The fourth proportional to 232,486.30, 320,830.93 and 130,511.96 is: 180,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,486.30 : 320,830.93 = 130,511.96 : x
  2. Step 2: Convert to fraction form
    232,486.30/320,830.93 = 130,511.96/x
  3. Step 3: Cross multiply
    232,486.30x = 320,830.93 × 130,511.96
  4. Step 4: Simplify right side
    232,486.30x = 41,872,273,502.92
  5. Step 5: Solve for x
    x = 41,872,273,502.92/232,486.30
  6. Step 6: Final answer
    x = 180,106.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.