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Finding the Fourth Proportional to 180,888.56, 249,338.56 and 142,586

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Solution

The fourth proportional to 180,888.56, 249,338.56 and 142,586 is: 196,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,888.56 : 249,338.56 = 142,586 : x
  2. Step 2: Convert to fraction form
    180,888.56/249,338.56 = 142,586/x
  3. Step 3: Cross multiply
    180,888.56x = 249,338.56 × 142,586
  4. Step 4: Simplify right side
    180,888.56x = 35,552,187,916.16
  5. Step 5: Solve for x
    x = 35,552,187,916.16/180,888.56
  6. Step 6: Final answer
    x = 196,541.94

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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.