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Finding the Fourth Proportional to 508,106.52, 762,258.60 and 153,102.96

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Solution

The fourth proportional to 508,106.52, 762,258.60 and 153,102.96 is: 229,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,106.52 : 762,258.60 = 153,102.96 : x
  2. Step 2: Convert to fraction form
    508,106.52/762,258.60 = 153,102.96/x
  3. Step 3: Cross multiply
    508,106.52x = 762,258.60 × 153,102.96
  4. Step 4: Simplify right side
    508,106.52x = 116,704,047,945.46
  5. Step 5: Solve for x
    x = 116,704,047,945.46/508,106.52
  6. Step 6: Final answer
    x = 229,684.22

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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.