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Finding the Fourth Proportional to 106,430.40, 159,472.80 and 66,916.80

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Solution

The fourth proportional to 106,430.40, 159,472.80 and 66,916.80 is: 100,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,430.40 : 159,472.80 = 66,916.80 : x
  2. Step 2: Convert to fraction form
    106,430.40/159,472.80 = 66,916.80/x
  3. Step 3: Cross multiply
    106,430.40x = 159,472.80 × 66,916.80
  4. Step 4: Simplify right side
    106,430.40x = 10,671,409,463.04
  5. Step 5: Solve for x
    x = 10,671,409,463.04/106,430.40
  6. Step 6: Final answer
    x = 100,266.55

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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.