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Finding the Fourth Proportional to 262,055.70, 392,176.35 and 156,950.10

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Solution

The fourth proportional to 262,055.70, 392,176.35 and 156,950.10 is: 234,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,055.70 : 392,176.35 = 156,950.10 : x
  2. Step 2: Convert to fraction form
    262,055.70/392,176.35 = 156,950.10/x
  3. Step 3: Cross multiply
    262,055.70x = 392,176.35 × 156,950.10
  4. Step 4: Simplify right side
    262,055.70x = 61,552,117,350.14
  5. Step 5: Solve for x
    x = 61,552,117,350.14/262,055.70
  6. Step 6: Final answer
    x = 234,881.81

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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.