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Finding the Fourth Proportional to 180,802.67, 249,484.59 and 100,229.45

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Solution

The fourth proportional to 180,802.67, 249,484.59 and 100,229.45 is: 138,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,802.67 : 249,484.59 = 100,229.45 : x
  2. Step 2: Convert to fraction form
    180,802.67/249,484.59 = 100,229.45/x
  3. Step 3: Cross multiply
    180,802.67x = 249,484.59 × 100,229.45
  4. Step 4: Simplify right side
    180,802.67x = 25,005,701,991.75
  5. Step 5: Solve for x
    x = 25,005,701,991.75/180,802.67
  6. Step 6: Final answer
    x = 138,303.84

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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.