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Finding the Fourth Proportional to 180,472.14, 249,048.52 and 99,897.94

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Solution

The fourth proportional to 180,472.14, 249,048.52 and 99,897.94 is: 137,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,472.14 : 249,048.52 = 99,897.94 : x
  2. Step 2: Convert to fraction form
    180,472.14/249,048.52 = 99,897.94/x
  3. Step 3: Cross multiply
    180,472.14x = 249,048.52 × 99,897.94
  4. Step 4: Simplify right side
    180,472.14x = 24,879,434,108.05
  5. Step 5: Solve for x
    x = 24,879,434,108.05/180,472.14
  6. Step 6: Final answer
    x = 137,857.48

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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.