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Finding the Fourth Proportional to 107,410.16, 148,202.16 and 64,967.78

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Solution

The fourth proportional to 107,410.16, 148,202.16 and 64,967.78 is: 89,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,410.16 : 148,202.16 = 64,967.78 : x
  2. Step 2: Convert to fraction form
    107,410.16/148,202.16 = 64,967.78/x
  3. Step 3: Cross multiply
    107,410.16x = 148,202.16 × 64,967.78
  4. Step 4: Simplify right side
    107,410.16x = 9,628,365,326.40
  5. Step 5: Solve for x
    x = 9,628,365,326.40/107,410.16
  6. Step 6: Final answer
    x = 89,641.10

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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.