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Finding the Fourth Proportional to 102,159.20, 153,239.07 and 31,082.51

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Solution

The fourth proportional to 102,159.20, 153,239.07 and 31,082.51 is: 46,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.20 : 153,239.07 = 31,082.51 : x
  2. Step 2: Convert to fraction form
    102,159.20/153,239.07 = 31,082.51/x
  3. Step 3: Cross multiply
    102,159.20x = 153,239.07 × 31,082.51
  4. Step 4: Simplify right side
    102,159.20x = 4,763,054,925.67
  5. Step 5: Solve for x
    x = 4,763,054,925.67/102,159.20
  6. Step 6: Final answer
    x = 46,623.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.