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Finding the Fourth Proportional to 242,222.96, 362,809.32 and 117,302

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Solution

The fourth proportional to 242,222.96, 362,809.32 and 117,302 is: 175,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,222.96 : 362,809.32 = 117,302 : x
  2. Step 2: Convert to fraction form
    242,222.96/362,809.32 = 117,302/x
  3. Step 3: Cross multiply
    242,222.96x = 362,809.32 × 117,302
  4. Step 4: Simplify right side
    242,222.96x = 42,558,258,854.64
  5. Step 5: Solve for x
    x = 42,558,258,854.64/242,222.96
  6. Step 6: Final answer
    x = 175,698.70

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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.