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Finding the Fourth Proportional to 201,405.40, 302,088.52 and 61,165.24

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Solution

The fourth proportional to 201,405.40, 302,088.52 and 61,165.24 is: 91,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,405.40 : 302,088.52 = 61,165.24 : x
  2. Step 2: Convert to fraction form
    201,405.40/302,088.52 = 61,165.24/x
  3. Step 3: Cross multiply
    201,405.40x = 302,088.52 × 61,165.24
  4. Step 4: Simplify right side
    201,405.40x = 18,477,316,827.04
  5. Step 5: Solve for x
    x = 18,477,316,827.04/201,405.40
  6. Step 6: Final answer
    x = 91,741.91

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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.