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Finding the Fourth Proportional to 180,457.44, 249,031.74 and 99,890.52

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Solution

The fourth proportional to 180,457.44, 249,031.74 and 99,890.52 is: 137,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,457.44 : 249,031.74 = 99,890.52 : x
  2. Step 2: Convert to fraction form
    180,457.44/249,031.74 = 99,890.52/x
  3. Step 3: Cross multiply
    180,457.44x = 249,031.74 × 99,890.52
  4. Step 4: Simplify right side
    180,457.44x = 24,875,910,005.10
  5. Step 5: Solve for x
    x = 24,875,910,005.10/180,457.44
  6. Step 6: Final answer
    x = 137,849.18

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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.