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Finding the Fourth Proportional to 180,502.86, 249,093.06 and 97,716.61

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Solution

The fourth proportional to 180,502.86, 249,093.06 and 97,716.61 is: 134,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,502.86 : 249,093.06 = 97,716.61 : x
  2. Step 2: Convert to fraction form
    180,502.86/249,093.06 = 97,716.61/x
  3. Step 3: Cross multiply
    180,502.86x = 249,093.06 × 97,716.61
  4. Step 4: Simplify right side
    180,502.86x = 24,340,529,342.66
  5. Step 5: Solve for x
    x = 24,340,529,342.66/180,502.86
  6. Step 6: Final answer
    x = 134,848.44

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Why These Related Problems?

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