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Finding the Fourth Proportional to 180,065.76, 248,477.96 and 99,492.42

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Solution

The fourth proportional to 180,065.76, 248,477.96 and 99,492.42 is: 137,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,065.76 : 248,477.96 = 99,492.42 : x
  2. Step 2: Convert to fraction form
    180,065.76/248,477.96 = 99,492.42/x
  3. Step 3: Cross multiply
    180,065.76x = 248,477.96 × 99,492.42
  4. Step 4: Simplify right side
    180,065.76x = 24,721,673,557.06
  5. Step 5: Solve for x
    x = 24,721,673,557.06/180,065.76
  6. Step 6: Final answer
    x = 137,292.47

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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.