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Finding the Fourth Proportional to 153,880.16, 230,848.32 and 70,772

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Solution

The fourth proportional to 153,880.16, 230,848.32 and 70,772 is: 106,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,880.16 : 230,848.32 = 70,772 : x
  2. Step 2: Convert to fraction form
    153,880.16/230,848.32 = 70,772/x
  3. Step 3: Cross multiply
    153,880.16x = 230,848.32 × 70,772
  4. Step 4: Simplify right side
    153,880.16x = 16,337,597,303.04
  5. Step 5: Solve for x
    x = 16,337,597,303.04/153,880.16
  6. Step 6: Final answer
    x = 106,170.91

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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.