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Finding the Fourth Proportional to 106,501, 146,971.38 and 61,797.64

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Solution

The fourth proportional to 106,501, 146,971.38 and 61,797.64 is: 85,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,501 : 146,971.38 = 61,797.64 : x
  2. Step 2: Convert to fraction form
    106,501/146,971.38 = 61,797.64/x
  3. Step 3: Cross multiply
    106,501x = 146,971.38 × 61,797.64
  4. Step 4: Simplify right side
    106,501x = 9,082,484,431.54
  5. Step 5: Solve for x
    x = 9,082,484,431.54/106,501
  6. Step 6: Final answer
    x = 85,280.74

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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.