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Finding the Fourth Proportional to 180,031.68, 248,448.74 and 99,464.40

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Solution

The fourth proportional to 180,031.68, 248,448.74 and 99,464.40 is: 137,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,031.68 : 248,448.74 = 99,464.40 : x
  2. Step 2: Convert to fraction form
    180,031.68/248,448.74 = 99,464.40/x
  3. Step 3: Cross multiply
    180,031.68x = 248,448.74 × 99,464.40
  4. Step 4: Simplify right side
    180,031.68x = 24,711,804,357.53
  5. Step 5: Solve for x
    x = 24,711,804,357.53/180,031.68
  6. Step 6: Final answer
    x = 137,263.64

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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.