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Finding the Fourth Proportional to 157,036, 216,711.84 and 89,968

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Solution

The fourth proportional to 157,036, 216,711.84 and 89,968 is: 124,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,036 : 216,711.84 = 89,968 : x
  2. Step 2: Convert to fraction form
    157,036/216,711.84 = 89,968/x
  3. Step 3: Cross multiply
    157,036x = 216,711.84 × 89,968
  4. Step 4: Simplify right side
    157,036x = 19,497,130,821.12
  5. Step 5: Solve for x
    x = 19,497,130,821.12/157,036
  6. Step 6: Final answer
    x = 124,157.08

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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.