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Finding the Fourth Proportional to 161,954.62, 242,931.93 and 83,018.50

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Solution

The fourth proportional to 161,954.62, 242,931.93 and 83,018.50 is: 124,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,954.62 : 242,931.93 = 83,018.50 : x
  2. Step 2: Convert to fraction form
    161,954.62/242,931.93 = 83,018.50/x
  3. Step 3: Cross multiply
    161,954.62x = 242,931.93 × 83,018.50
  4. Step 4: Simplify right side
    161,954.62x = 20,167,844,430.71
  5. Step 5: Solve for x
    x = 20,167,844,430.71/161,954.62
  6. Step 6: Final answer
    x = 124,527.75

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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.