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Finding the Fourth Proportional to 242,219.70, 363,070.35 and 109,077.30

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Solution

The fourth proportional to 242,219.70, 363,070.35 and 109,077.30 is: 163,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,219.70 : 363,070.35 = 109,077.30 : x
  2. Step 2: Convert to fraction form
    242,219.70/363,070.35 = 109,077.30/x
  3. Step 3: Cross multiply
    242,219.70x = 363,070.35 × 109,077.30
  4. Step 4: Simplify right side
    242,219.70x = 39,602,733,488.06
  5. Step 5: Solve for x
    x = 39,602,733,488.06/242,219.70
  6. Step 6: Final answer
    x = 163,499.23

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1.5x scale

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.