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Finding the Fourth Proportional to 157,119.14, 216,822.57 and 103,482.02

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Solution

The fourth proportional to 157,119.14, 216,822.57 and 103,482.02 is: 142,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,119.14 : 216,822.57 = 103,482.02 : x
  2. Step 2: Convert to fraction form
    157,119.14/216,822.57 = 103,482.02/x
  3. Step 3: Cross multiply
    157,119.14x = 216,822.57 × 103,482.02
  4. Step 4: Simplify right side
    157,119.14x = 22,437,237,525.19
  5. Step 5: Solve for x
    x = 22,437,237,525.19/157,119.14
  6. Step 6: Final answer
    x = 142,803.97

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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.