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Finding the Fourth Proportional to 201,430.60, 302,189.10 and 61,203.40

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Solution

The fourth proportional to 201,430.60, 302,189.10 and 61,203.40 is: 91,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430.60 : 302,189.10 = 61,203.40 : x
  2. Step 2: Convert to fraction form
    201,430.60/302,189.10 = 61,203.40/x
  3. Step 3: Cross multiply
    201,430.60x = 302,189.10 × 61,203.40
  4. Step 4: Simplify right side
    201,430.60x = 18,495,000,362.94
  5. Step 5: Solve for x
    x = 18,495,000,362.94/201,430.60
  6. Step 6: Final answer
    x = 91,818.23

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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.