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Finding the Fourth Proportional to 601,371, 902,109.78 and 158,139

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Solution

The fourth proportional to 601,371, 902,109.78 and 158,139 is: 237,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,371 : 902,109.78 = 158,139 : x
  2. Step 2: Convert to fraction form
    601,371/902,109.78 = 158,139/x
  3. Step 3: Cross multiply
    601,371x = 902,109.78 × 158,139
  4. Step 4: Simplify right side
    601,371x = 142,658,738,499.42
  5. Step 5: Solve for x
    x = 142,658,738,499.42/601,371
  6. Step 6: Final answer
    x = 237,222.51

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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.