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Finding the Fourth Proportional to 174,895.23, 260,978.77 and 156,045.69

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Solution

The fourth proportional to 174,895.23, 260,978.77 and 156,045.69 is: 232,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,895.23 : 260,978.77 = 156,045.69 : x
  2. Step 2: Convert to fraction form
    174,895.23/260,978.77 = 156,045.69/x
  3. Step 3: Cross multiply
    174,895.23x = 260,978.77 × 156,045.69
  4. Step 4: Simplify right side
    174,895.23x = 40,724,612,240.00
  5. Step 5: Solve for x
    x = 40,724,612,240.00/174,895.23
  6. Step 6: Final answer
    x = 232,851.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.