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Finding the Fourth Proportional to 186,230.96, 257,299.40 and 129,893.84

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Solution

The fourth proportional to 186,230.96, 257,299.40 and 129,893.84 is: 179,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,230.96 : 257,299.40 = 129,893.84 : x
  2. Step 2: Convert to fraction form
    186,230.96/257,299.40 = 129,893.84/x
  3. Step 3: Cross multiply
    186,230.96x = 257,299.40 × 129,893.84
  4. Step 4: Simplify right side
    186,230.96x = 33,421,607,095.70
  5. Step 5: Solve for x
    x = 33,421,607,095.70/186,230.96
  6. Step 6: Final answer
    x = 179,463.22

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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.