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Finding the Fourth Proportional to 134,302.30, 201,210.45 and 106,405.90

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Solution

The fourth proportional to 134,302.30, 201,210.45 and 106,405.90 is: 159,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,302.30 : 201,210.45 = 106,405.90 : x
  2. Step 2: Convert to fraction form
    134,302.30/201,210.45 = 106,405.90/x
  3. Step 3: Cross multiply
    134,302.30x = 201,210.45 × 106,405.90
  4. Step 4: Simplify right side
    134,302.30x = 21,409,979,021.66
  5. Step 5: Solve for x
    x = 21,409,979,021.66/134,302.30
  6. Step 6: Final answer
    x = 159,416.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.