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Finding the Fourth Proportional to 180,684, 249,343.92 and 110,028

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Solution

The fourth proportional to 180,684, 249,343.92 and 110,028 is: 151,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,684 : 249,343.92 = 110,028 : x
  2. Step 2: Convert to fraction form
    180,684/249,343.92 = 110,028/x
  3. Step 3: Cross multiply
    180,684x = 249,343.92 × 110,028
  4. Step 4: Simplify right side
    180,684x = 27,434,812,829.76
  5. Step 5: Solve for x
    x = 27,434,812,829.76/180,684
  6. Step 6: Final answer
    x = 151,838.64

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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.