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Finding the Fourth Proportional to 123,461.51, 185,173.31 and 39,210.77

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Solution

The fourth proportional to 123,461.51, 185,173.31 and 39,210.77 is: 58,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,461.51 : 185,173.31 = 39,210.77 : x
  2. Step 2: Convert to fraction form
    123,461.51/185,173.31 = 39,210.77/x
  3. Step 3: Cross multiply
    123,461.51x = 185,173.31 × 39,210.77
  4. Step 4: Simplify right side
    123,461.51x = 7,260,786,946.63
  5. Step 5: Solve for x
    x = 7,260,786,946.63/123,461.51
  6. Step 6: Final answer
    x = 58,810.13

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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.