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Finding the Fourth Proportional to 153,875.16, 230,838.66 and 70,767

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Solution

The fourth proportional to 153,875.16, 230,838.66 and 70,767 is: 106,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,875.16 : 230,838.66 = 70,767 : x
  2. Step 2: Convert to fraction form
    153,875.16/230,838.66 = 70,767/x
  3. Step 3: Cross multiply
    153,875.16x = 230,838.66 × 70,767
  4. Step 4: Simplify right side
    153,875.16x = 16,335,759,452.22
  5. Step 5: Solve for x
    x = 16,335,759,452.22/153,875.16
  6. Step 6: Final answer
    x = 106,162.42

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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.