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Finding the Fourth Proportional to 227,483.78, 341,265.78 and 77,688.96

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Solution

The fourth proportional to 227,483.78, 341,265.78 and 77,688.96 is: 116,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,483.78 : 341,265.78 = 77,688.96 : x
  2. Step 2: Convert to fraction form
    227,483.78/341,265.78 = 77,688.96/x
  3. Step 3: Cross multiply
    227,483.78x = 341,265.78 × 77,688.96
  4. Step 4: Simplify right side
    227,483.78x = 26,512,583,531.79
  5. Step 5: Solve for x
    x = 26,512,583,531.79/227,483.78
  6. Step 6: Final answer
    x = 116,547.14

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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.