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Finding the Fourth Proportional to 202,000.40, 302,741.40 and 96,592.40

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Solution

The fourth proportional to 202,000.40, 302,741.40 and 96,592.40 is: 144,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.40 : 302,741.40 = 96,592.40 : x
  2. Step 2: Convert to fraction form
    202,000.40/302,741.40 = 96,592.40/x
  3. Step 3: Cross multiply
    202,000.40x = 302,741.40 × 96,592.40
  4. Step 4: Simplify right side
    202,000.40x = 29,242,518,405.36
  5. Step 5: Solve for x
    x = 29,242,518,405.36/202,000.40
  6. Step 6: Final answer
    x = 144,764.66

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1.5x scale

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.