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Finding the Fourth Proportional to 142,768.40, 214,152.60 and 101,296.40

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Solution

The fourth proportional to 142,768.40, 214,152.60 and 101,296.40 is: 151,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,768.40 : 214,152.60 = 101,296.40 : x
  2. Step 2: Convert to fraction form
    142,768.40/214,152.60 = 101,296.40/x
  3. Step 3: Cross multiply
    142,768.40x = 214,152.60 × 101,296.40
  4. Step 4: Simplify right side
    142,768.40x = 21,692,887,430.64
  5. Step 5: Solve for x
    x = 21,692,887,430.64/142,768.40
  6. Step 6: Final answer
    x = 151,944.60

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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.