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Finding the Fourth Proportional to 164,062.60, 245,437.80 and 142,119.70

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Solution

The fourth proportional to 164,062.60, 245,437.80 and 142,119.70 is: 212,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,062.60 : 245,437.80 = 142,119.70 : x
  2. Step 2: Convert to fraction form
    164,062.60/245,437.80 = 142,119.70/x
  3. Step 3: Cross multiply
    164,062.60x = 245,437.80 × 142,119.70
  4. Step 4: Simplify right side
    164,062.60x = 34,881,546,504.66
  5. Step 5: Solve for x
    x = 34,881,546,504.66/164,062.60
  6. Step 6: Final answer
    x = 212,611.20

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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.