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Finding the Fourth Proportional to 102,412.40, 153,618.60 and 43,314.80

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Solution

The fourth proportional to 102,412.40, 153,618.60 and 43,314.80 is: 64,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,412.40 : 153,618.60 = 43,314.80 : x
  2. Step 2: Convert to fraction form
    102,412.40/153,618.60 = 43,314.80/x
  3. Step 3: Cross multiply
    102,412.40x = 153,618.60 × 43,314.80
  4. Step 4: Simplify right side
    102,412.40x = 6,653,958,935.28
  5. Step 5: Solve for x
    x = 6,653,958,935.28/102,412.40
  6. Step 6: Final answer
    x = 64,972.20

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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.