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Finding the Fourth Proportional to 180,570.29, 249,104.31 and 116,928.59

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Solution

The fourth proportional to 180,570.29, 249,104.31 and 116,928.59 is: 161,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,570.29 : 249,104.31 = 116,928.59 : x
  2. Step 2: Convert to fraction form
    180,570.29/249,104.31 = 116,928.59/x
  3. Step 3: Cross multiply
    180,570.29x = 249,104.31 × 116,928.59
  4. Step 4: Simplify right side
    180,570.29x = 29,127,415,731.22
  5. Step 5: Solve for x
    x = 29,127,415,731.22/180,570.29
  6. Step 6: Final answer
    x = 161,307.91

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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.