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Finding the Fourth Proportional to 85,415, 127,962.12 and 78,970.64

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Solution

The fourth proportional to 85,415, 127,962.12 and 78,970.64 is: 118,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,415 : 127,962.12 = 78,970.64 : x
  2. Step 2: Convert to fraction form
    85,415/127,962.12 = 78,970.64/x
  3. Step 3: Cross multiply
    85,415x = 127,962.12 × 78,970.64
  4. Step 4: Simplify right side
    85,415x = 10,105,250,512.16
  5. Step 5: Solve for x
    x = 10,105,250,512.16/85,415
  6. Step 6: Final answer
    x = 118,307.68

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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.