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Finding the Fourth Proportional to 305,875.86, 458,561.10 and 134,975.88

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Solution

The fourth proportional to 305,875.86, 458,561.10 and 134,975.88 is: 202,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,875.86 : 458,561.10 = 134,975.88 : x
  2. Step 2: Convert to fraction form
    305,875.86/458,561.10 = 134,975.88/x
  3. Step 3: Cross multiply
    305,875.86x = 458,561.10 × 134,975.88
  4. Step 4: Simplify right side
    305,875.86x = 61,894,688,006.27
  5. Step 5: Solve for x
    x = 61,894,688,006.27/305,875.86
  6. Step 6: Final answer
    x = 202,352.31

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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.