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Finding the Fourth Proportional to 260,031.16, 358,838.82 and 145,311.40

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Solution

The fourth proportional to 260,031.16, 358,838.82 and 145,311.40 is: 200,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.16 : 358,838.82 = 145,311.40 : x
  2. Step 2: Convert to fraction form
    260,031.16/358,838.82 = 145,311.40/x
  3. Step 3: Cross multiply
    260,031.16x = 358,838.82 × 145,311.40
  4. Step 4: Simplify right side
    260,031.16x = 52,143,371,308.55
  5. Step 5: Solve for x
    x = 52,143,371,308.55/260,031.16
  6. Step 6: Final answer
    x = 200,527.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.