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Finding the Fourth Proportional to 156,926.40, 235,130.40 and 133,598.40

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Solution

The fourth proportional to 156,926.40, 235,130.40 and 133,598.40 is: 200,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,926.40 : 235,130.40 = 133,598.40 : x
  2. Step 2: Convert to fraction form
    156,926.40/235,130.40 = 133,598.40/x
  3. Step 3: Cross multiply
    156,926.40x = 235,130.40 × 133,598.40
  4. Step 4: Simplify right side
    156,926.40x = 31,413,045,231.36
  5. Step 5: Solve for x
    x = 31,413,045,231.36/156,926.40
  6. Step 6: Final answer
    x = 200,176.93

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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.