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Finding the Fourth Proportional to 213,864, 295,210.08 and 124,440

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Solution

The fourth proportional to 213,864, 295,210.08 and 124,440 is: 171,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,864 : 295,210.08 = 124,440 : x
  2. Step 2: Convert to fraction form
    213,864/295,210.08 = 124,440/x
  3. Step 3: Cross multiply
    213,864x = 295,210.08 × 124,440
  4. Step 4: Simplify right side
    213,864x = 36,735,942,355.20
  5. Step 5: Solve for x
    x = 36,735,942,355.20/213,864
  6. Step 6: Final answer
    x = 171,772.45

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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.