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Finding the Fourth Proportional to 104,267.59, 144,077.11 and 83,214.07

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Solution

The fourth proportional to 104,267.59, 144,077.11 and 83,214.07 is: 114,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,267.59 : 144,077.11 = 83,214.07 : x
  2. Step 2: Convert to fraction form
    104,267.59/144,077.11 = 83,214.07/x
  3. Step 3: Cross multiply
    104,267.59x = 144,077.11 × 83,214.07
  4. Step 4: Simplify right side
    104,267.59x = 11,989,242,148.71
  5. Step 5: Solve for x
    x = 11,989,242,148.71/104,267.59
  6. Step 6: Final answer
    x = 114,985.32

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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.