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Finding the Fourth Proportional to 228,187.73, 314,802.64 and 152,760.53

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Solution

The fourth proportional to 228,187.73, 314,802.64 and 152,760.53 is: 210,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,187.73 : 314,802.64 = 152,760.53 : x
  2. Step 2: Convert to fraction form
    228,187.73/314,802.64 = 152,760.53/x
  3. Step 3: Cross multiply
    228,187.73x = 314,802.64 × 152,760.53
  4. Step 4: Simplify right side
    228,187.73x = 48,089,418,131.80
  5. Step 5: Solve for x
    x = 48,089,418,131.80/228,187.73
  6. Step 6: Final answer
    x = 210,744.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.