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Finding the Fourth Proportional to 106,115.66, 146,436.52 and 58,369

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Solution

The fourth proportional to 106,115.66, 146,436.52 and 58,369 is: 80,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,115.66 : 146,436.52 = 58,369 : x
  2. Step 2: Convert to fraction form
    106,115.66/146,436.52 = 58,369/x
  3. Step 3: Cross multiply
    106,115.66x = 146,436.52 × 58,369
  4. Step 4: Simplify right side
    106,115.66x = 8,547,353,235.88
  5. Step 5: Solve for x
    x = 8,547,353,235.88/106,115.66
  6. Step 6: Final answer
    x = 80,547.52

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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.