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Finding the Fourth Proportional to 227,461.71, 341,253.06 and 77,701.77

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Solution

The fourth proportional to 227,461.71, 341,253.06 and 77,701.77 is: 116,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,461.71 : 341,253.06 = 77,701.77 : x
  2. Step 2: Convert to fraction form
    227,461.71/341,253.06 = 77,701.77/x
  3. Step 3: Cross multiply
    227,461.71x = 341,253.06 × 77,701.77
  4. Step 4: Simplify right side
    227,461.71x = 26,515,966,779.92
  5. Step 5: Solve for x
    x = 26,515,966,779.92/227,461.71
  6. Step 6: Final answer
    x = 116,573.32

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1.5x scale

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.