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Finding the Fourth Proportional to 537,029.55, 805,430.86 and 157,847.15

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Solution

The fourth proportional to 537,029.55, 805,430.86 and 157,847.15 is: 236,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,029.55 : 805,430.86 = 157,847.15 : x
  2. Step 2: Convert to fraction form
    537,029.55/805,430.86 = 157,847.15/x
  3. Step 3: Cross multiply
    537,029.55x = 805,430.86 × 157,847.15
  4. Step 4: Simplify right side
    537,029.55x = 127,134,967,392.01
  5. Step 5: Solve for x
    x = 127,134,967,392.01/537,029.55
  6. Step 6: Final answer
    x = 236,737.38

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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.