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Finding the Fourth Proportional to 102,326.94, 153,206.94 and 52,299.30

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Solution

The fourth proportional to 102,326.94, 153,206.94 and 52,299.30 is: 78,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,326.94 : 153,206.94 = 52,299.30 : x
  2. Step 2: Convert to fraction form
    102,326.94/153,206.94 = 52,299.30/x
  3. Step 3: Cross multiply
    102,326.94x = 153,206.94 × 52,299.30
  4. Step 4: Simplify right side
    102,326.94x = 8,012,615,717.14
  5. Step 5: Solve for x
    x = 8,012,615,717.14/102,326.94
  6. Step 6: Final answer
    x = 78,304.07

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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.