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Finding the Fourth Proportional to 146,570.64, 219,708.54 and 57,886.98

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Solution

The fourth proportional to 146,570.64, 219,708.54 and 57,886.98 is: 86,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,570.64 : 219,708.54 = 57,886.98 : x
  2. Step 2: Convert to fraction form
    146,570.64/219,708.54 = 57,886.98/x
  3. Step 3: Cross multiply
    146,570.64x = 219,708.54 × 57,886.98
  4. Step 4: Simplify right side
    146,570.64x = 12,718,263,860.81
  5. Step 5: Solve for x
    x = 12,718,263,860.81/146,570.64
  6. Step 6: Final answer
    x = 86,772.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.