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Finding the Fourth Proportional to 152,467.57, 210,409.86 and 84,478.18

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Solution

The fourth proportional to 152,467.57, 210,409.86 and 84,478.18 is: 116,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,467.57 : 210,409.86 = 84,478.18 : x
  2. Step 2: Convert to fraction form
    152,467.57/210,409.86 = 84,478.18/x
  3. Step 3: Cross multiply
    152,467.57x = 210,409.86 × 84,478.18
  4. Step 4: Simplify right side
    152,467.57x = 17,775,042,289.87
  5. Step 5: Solve for x
    x = 17,775,042,289.87/152,467.57
  6. Step 6: Final answer
    x = 116,582.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.