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Finding the Fourth Proportional to 202,357.40, 303,536.10 and 188,533.40

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Solution

The fourth proportional to 202,357.40, 303,536.10 and 188,533.40 is: 282,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.40 : 303,536.10 = 188,533.40 : x
  2. Step 2: Convert to fraction form
    202,357.40/303,536.10 = 188,533.40/x
  3. Step 3: Cross multiply
    202,357.40x = 303,536.10 × 188,533.40
  4. Step 4: Simplify right side
    202,357.40x = 57,226,692,955.74
  5. Step 5: Solve for x
    x = 57,226,692,955.74/202,357.40
  6. Step 6: Final answer
    x = 282,800.10

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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.