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Finding the Fourth Proportional to 201,534.60, 302,496.30 and 101,807.40

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Solution

The fourth proportional to 201,534.60, 302,496.30 and 101,807.40 is: 152,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,534.60 : 302,496.30 = 101,807.40 : x
  2. Step 2: Convert to fraction form
    201,534.60/302,496.30 = 101,807.40/x
  3. Step 3: Cross multiply
    201,534.60x = 302,496.30 × 101,807.40
  4. Step 4: Simplify right side
    201,534.60x = 30,796,361,812.62
  5. Step 5: Solve for x
    x = 30,796,361,812.62/201,534.60
  6. Step 6: Final answer
    x = 152,809.30

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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.