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Finding the Fourth Proportional to 145,969.20, 218,953.80 and 83,588.40

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Solution

The fourth proportional to 145,969.20, 218,953.80 and 83,588.40 is: 125,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,969.20 : 218,953.80 = 83,588.40 : x
  2. Step 2: Convert to fraction form
    145,969.20/218,953.80 = 83,588.40/x
  3. Step 3: Cross multiply
    145,969.20x = 218,953.80 × 83,588.40
  4. Step 4: Simplify right side
    145,969.20x = 18,301,997,815.92
  5. Step 5: Solve for x
    x = 18,301,997,815.92/145,969.20
  6. Step 6: Final answer
    x = 125,382.60

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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.