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Finding the Fourth Proportional to 257,833.32, 386,743.88 and 151,889.18

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Solution

The fourth proportional to 257,833.32, 386,743.88 and 151,889.18 is: 227,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,833.32 : 386,743.88 = 151,889.18 : x
  2. Step 2: Convert to fraction form
    257,833.32/386,743.88 = 151,889.18/x
  3. Step 3: Cross multiply
    257,833.32x = 386,743.88 × 151,889.18
  4. Step 4: Simplify right side
    257,833.32x = 58,742,210,803.22
  5. Step 5: Solve for x
    x = 58,742,210,803.22/257,833.32
  6. Step 6: Final answer
    x = 227,830.18

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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.