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Finding the Fourth Proportional to 242,921.40, 364,425.80 and 116,454.48

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Solution

The fourth proportional to 242,921.40, 364,425.80 and 116,454.48 is: 174,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,921.40 : 364,425.80 = 116,454.48 : x
  2. Step 2: Convert to fraction form
    242,921.40/364,425.80 = 116,454.48/x
  3. Step 3: Cross multiply
    242,921.40x = 364,425.80 × 116,454.48
  4. Step 4: Simplify right side
    242,921.40x = 42,439,017,037.58
  5. Step 5: Solve for x
    x = 42,439,017,037.58/242,921.40
  6. Step 6: Final answer
    x = 174,702.67

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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.