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Finding the Fourth Proportional to 180,698, 249,356.52 and 104,220.26

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Solution

The fourth proportional to 180,698, 249,356.52 and 104,220.26 is: 143,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,698 : 249,356.52 = 104,220.26 : x
  2. Step 2: Convert to fraction form
    180,698/249,356.52 = 104,220.26/x
  3. Step 3: Cross multiply
    180,698x = 249,356.52 × 104,220.26
  4. Step 4: Simplify right side
    180,698x = 25,988,001,347.10
  5. Step 5: Solve for x
    x = 25,988,001,347.10/180,698
  6. Step 6: Final answer
    x = 143,820.08

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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.