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Finding the Fourth Proportional to 106,052.59, 159,194.16 and 42,916.18

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Solution

The fourth proportional to 106,052.59, 159,194.16 and 42,916.18 is: 64,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,052.59 : 159,194.16 = 42,916.18 : x
  2. Step 2: Convert to fraction form
    106,052.59/159,194.16 = 42,916.18/x
  3. Step 3: Cross multiply
    106,052.59x = 159,194.16 × 42,916.18
  4. Step 4: Simplify right side
    106,052.59x = 6,832,005,225.51
  5. Step 5: Solve for x
    x = 6,832,005,225.51/106,052.59
  6. Step 6: Final answer
    x = 64,420.92

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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.