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Finding the Fourth Proportional to 189,096.21, 260,946.16 and 103,053.47

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Solution

The fourth proportional to 189,096.21, 260,946.16 and 103,053.47 is: 142,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,096.21 : 260,946.16 = 103,053.47 : x
  2. Step 2: Convert to fraction form
    189,096.21/260,946.16 = 103,053.47/x
  3. Step 3: Cross multiply
    189,096.21x = 260,946.16 × 103,053.47
  4. Step 4: Simplify right side
    189,096.21x = 26,891,405,708.81
  5. Step 5: Solve for x
    x = 26,891,405,708.81/189,096.21
  6. Step 6: Final answer
    x = 142,210.18

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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.