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Finding the Fourth Proportional to 176,403.80, 264,411.30 and 97,574.60

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Solution

The fourth proportional to 176,403.80, 264,411.30 and 97,574.60 is: 146,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,403.80 : 264,411.30 = 97,574.60 : x
  2. Step 2: Convert to fraction form
    176,403.80/264,411.30 = 97,574.60/x
  3. Step 3: Cross multiply
    176,403.80x = 264,411.30 × 97,574.60
  4. Step 4: Simplify right side
    176,403.80x = 25,799,826,832.98
  5. Step 5: Solve for x
    x = 25,799,826,832.98/176,403.80
  6. Step 6: Final answer
    x = 146,254.37

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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.