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Finding the Fourth Proportional to 180,461.77, 249,063.95 and 103,966.32

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Solution

The fourth proportional to 180,461.77, 249,063.95 and 103,966.32 is: 143,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,461.77 : 249,063.95 = 103,966.32 : x
  2. Step 2: Convert to fraction form
    180,461.77/249,063.95 = 103,966.32/x
  3. Step 3: Cross multiply
    180,461.77x = 249,063.95 × 103,966.32
  4. Step 4: Simplify right side
    180,461.77x = 25,894,262,935.26
  5. Step 5: Solve for x
    x = 25,894,262,935.26/180,461.77
  6. Step 6: Final answer
    x = 143,488.91

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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.