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Finding the Fourth Proportional to 180,501, 249,109.79 and 104,022.82

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Solution

The fourth proportional to 180,501, 249,109.79 and 104,022.82 is: 143,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,501 : 249,109.79 = 104,022.82 : x
  2. Step 2: Convert to fraction form
    180,501/249,109.79 = 104,022.82/x
  3. Step 3: Cross multiply
    180,501x = 249,109.79 × 104,022.82
  4. Step 4: Simplify right side
    180,501x = 25,913,102,845.41
  5. Step 5: Solve for x
    x = 25,913,102,845.41/180,501
  6. Step 6: Final answer
    x = 143,562.10

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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.