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Finding the Fourth Proportional to 142,768.40, 214,152.60 and 83,670.80

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Solution

The fourth proportional to 142,768.40, 214,152.60 and 83,670.80 is: 125,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,768.40 : 214,152.60 = 83,670.80 : x
  2. Step 2: Convert to fraction form
    142,768.40/214,152.60 = 83,670.80/x
  3. Step 3: Cross multiply
    142,768.40x = 214,152.60 × 83,670.80
  4. Step 4: Simplify right side
    142,768.40x = 17,918,319,364.08
  5. Step 5: Solve for x
    x = 17,918,319,364.08/142,768.40
  6. Step 6: Final answer
    x = 125,506.20

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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.