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Finding the Fourth Proportional to 180,858.02, 249,587.06 and 100,288.94

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Solution

The fourth proportional to 180,858.02, 249,587.06 and 100,288.94 is: 138,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,858.02 : 249,587.06 = 100,288.94 : x
  2. Step 2: Convert to fraction form
    180,858.02/249,587.06 = 100,288.94/x
  3. Step 3: Cross multiply
    180,858.02x = 249,587.06 × 100,288.94
  4. Step 4: Simplify right side
    180,858.02x = 25,030,819,935.74
  5. Step 5: Solve for x
    x = 25,030,819,935.74/180,858.02
  6. Step 6: Final answer
    x = 138,400.39

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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.