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Finding the Fourth Proportional to 201,700.10, 302,089.35 and 118,756.10

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Solution

The fourth proportional to 201,700.10, 302,089.35 and 118,756.10 is: 177,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.10 : 302,089.35 = 118,756.10 : x
  2. Step 2: Convert to fraction form
    201,700.10/302,089.35 = 118,756.10/x
  3. Step 3: Cross multiply
    201,700.10x = 302,089.35 × 118,756.10
  4. Step 4: Simplify right side
    201,700.10x = 35,874,953,057.54
  5. Step 5: Solve for x
    x = 35,874,953,057.54/201,700.10
  6. Step 6: Final answer
    x = 177,862.84

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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.