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Finding the Fourth Proportional to 201,643.56, 302,465.33 and 188,356.32

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Solution

The fourth proportional to 201,643.56, 302,465.33 and 188,356.32 is: 282,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.56 : 302,465.33 = 188,356.32 : x
  2. Step 2: Convert to fraction form
    201,643.56/302,465.33 = 188,356.32/x
  3. Step 3: Cross multiply
    201,643.56x = 302,465.33 × 188,356.32
  4. Step 4: Simplify right side
    201,643.56x = 56,971,256,486.39
  5. Step 5: Solve for x
    x = 56,971,256,486.39/201,643.56
  6. Step 6: Final answer
    x = 282,534.47

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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.