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Finding the Fourth Proportional to 152,653.66, 228,949.34 and 57,851.16

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Solution

The fourth proportional to 152,653.66, 228,949.34 and 57,851.16 is: 86,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,653.66 : 228,949.34 = 57,851.16 : x
  2. Step 2: Convert to fraction form
    152,653.66/228,949.34 = 57,851.16/x
  3. Step 3: Cross multiply
    152,653.66x = 228,949.34 × 57,851.16
  4. Step 4: Simplify right side
    152,653.66x = 13,244,985,040.26
  5. Step 5: Solve for x
    x = 13,244,985,040.26/152,653.66
  6. Step 6: Final answer
    x = 86,764.93

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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.