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Finding the Fourth Proportional to 175,698.53, 242,445.36 and 99,213

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Solution

The fourth proportional to 175,698.53, 242,445.36 and 99,213 is: 136,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,698.53 : 242,445.36 = 99,213 : x
  2. Step 2: Convert to fraction form
    175,698.53/242,445.36 = 99,213/x
  3. Step 3: Cross multiply
    175,698.53x = 242,445.36 × 99,213
  4. Step 4: Simplify right side
    175,698.53x = 24,053,731,501.68
  5. Step 5: Solve for x
    x = 24,053,731,501.68/175,698.53
  6. Step 6: Final answer
    x = 136,903.43

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1.5x scale

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.