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Finding the Fourth Proportional to 152,722.74, 229,117 and 46,097.76

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Solution

The fourth proportional to 152,722.74, 229,117 and 46,097.76 is: 69,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,722.74 : 229,117 = 46,097.76 : x
  2. Step 2: Convert to fraction form
    152,722.74/229,117 = 46,097.76/x
  3. Step 3: Cross multiply
    152,722.74x = 229,117 × 46,097.76
  4. Step 4: Simplify right side
    152,722.74x = 10,561,780,477.92
  5. Step 5: Solve for x
    x = 10,561,780,477.92/152,722.74
  6. Step 6: Final answer
    x = 69,156.57

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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.