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Finding the Fourth Proportional to 180,435.95, 270,681.27 and 130,889.93

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Solution

The fourth proportional to 180,435.95, 270,681.27 and 130,889.93 is: 196,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,435.95 : 270,681.27 = 130,889.93 : x
  2. Step 2: Convert to fraction form
    180,435.95/270,681.27 = 130,889.93/x
  3. Step 3: Cross multiply
    180,435.95x = 270,681.27 × 130,889.93
  4. Step 4: Simplify right side
    180,435.95x = 35,429,451,006.50
  5. Step 5: Solve for x
    x = 35,429,451,006.50/180,435.95
  6. Step 6: Final answer
    x = 196,354.72

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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.