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Finding the Fourth Proportional to 157,867.71, 235,649.93 and 137,938.47

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Solution

The fourth proportional to 157,867.71, 235,649.93 and 137,938.47 is: 205,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,867.71 : 235,649.93 = 137,938.47 : x
  2. Step 2: Convert to fraction form
    157,867.71/235,649.93 = 137,938.47/x
  3. Step 3: Cross multiply
    157,867.71x = 235,649.93 × 137,938.47
  4. Step 4: Simplify right side
    157,867.71x = 32,505,190,110.11
  5. Step 5: Solve for x
    x = 32,505,190,110.11/157,867.71
  6. Step 6: Final answer
    x = 205,901.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.