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Finding the Fourth Proportional to 158,849.60, 238,468.80 and 157,683.20

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Solution

The fourth proportional to 158,849.60, 238,468.80 and 157,683.20 is: 236,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,849.60 : 238,468.80 = 157,683.20 : x
  2. Step 2: Convert to fraction form
    158,849.60/238,468.80 = 157,683.20/x
  3. Step 3: Cross multiply
    158,849.60x = 238,468.80 × 157,683.20
  4. Step 4: Simplify right side
    158,849.60x = 37,602,523,484.16
  5. Step 5: Solve for x
    x = 37,602,523,484.16/158,849.60
  6. Step 6: Final answer
    x = 236,717.77

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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.