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Finding the Fourth Proportional to 82,415.40, 115,498.20 and 82,415.40

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Solution

The fourth proportional to 82,415.40, 115,498.20 and 82,415.40 is: 115,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.40 : 115,498.20 = 82,415.40 : x
  2. Step 2: Convert to fraction form
    82,415.40/115,498.20 = 82,415.40/x
  3. Step 3: Cross multiply
    82,415.40x = 115,498.20 × 82,415.40
  4. Step 4: Simplify right side
    82,415.40x = 9,518,830,352.28
  5. Step 5: Solve for x
    x = 9,518,830,352.28/82,415.40
  6. Step 6: Final answer
    x = 115,498.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.