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Finding the Fourth Proportional to 206,762.54, 310,186.85 and 64,602.07

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Solution

The fourth proportional to 206,762.54, 310,186.85 and 64,602.07 is: 96,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,762.54 : 310,186.85 = 64,602.07 : x
  2. Step 2: Convert to fraction form
    206,762.54/310,186.85 = 64,602.07/x
  3. Step 3: Cross multiply
    206,762.54x = 310,186.85 × 64,602.07
  4. Step 4: Simplify right side
    206,762.54x = 20,038,712,596.78
  5. Step 5: Solve for x
    x = 20,038,712,596.78/206,762.54
  6. Step 6: Final answer
    x = 96,916.55

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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.