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Finding the Fourth Proportional to 145,894.81, 201,322.77 and 82,248.25

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Solution

The fourth proportional to 145,894.81, 201,322.77 and 82,248.25 is: 113,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,894.81 : 201,322.77 = 82,248.25 : x
  2. Step 2: Convert to fraction form
    145,894.81/201,322.77 = 82,248.25/x
  3. Step 3: Cross multiply
    145,894.81x = 201,322.77 × 82,248.25
  4. Step 4: Simplify right side
    145,894.81x = 16,558,445,517.65
  5. Step 5: Solve for x
    x = 16,558,445,517.65/145,894.81
  6. Step 6: Final answer
    x = 113,495.78

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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.