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Finding the Fourth Proportional to 78,698.60, 118,037.10 and 26,102.60

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Solution

The fourth proportional to 78,698.60, 118,037.10 and 26,102.60 is: 39,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,698.60 : 118,037.10 = 26,102.60 : x
  2. Step 2: Convert to fraction form
    78,698.60/118,037.10 = 26,102.60/x
  3. Step 3: Cross multiply
    78,698.60x = 118,037.10 × 26,102.60
  4. Step 4: Simplify right side
    78,698.60x = 3,081,075,206.46
  5. Step 5: Solve for x
    x = 3,081,075,206.46/78,698.60
  6. Step 6: Final answer
    x = 39,150.32

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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.