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Finding the Fourth Proportional to 189,094.19, 260,946.45 and 103,053.87

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Solution

The fourth proportional to 189,094.19, 260,946.45 and 103,053.87 is: 142,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.19 : 260,946.45 = 103,053.87 : x
  2. Step 2: Convert to fraction form
    189,094.19/260,946.45 = 103,053.87/x
  3. Step 3: Cross multiply
    189,094.19x = 260,946.45 × 103,053.87
  4. Step 4: Simplify right side
    189,094.19x = 26,891,541,535.26
  5. Step 5: Solve for x
    x = 26,891,541,535.26/189,094.19
  6. Step 6: Final answer
    x = 142,212.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.