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Finding the Fourth Proportional to 180,541.76, 249,127.49 and 99,949.10

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Solution

The fourth proportional to 180,541.76, 249,127.49 and 99,949.10 is: 137,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,541.76 : 249,127.49 = 99,949.10 : x
  2. Step 2: Convert to fraction form
    180,541.76/249,127.49 = 99,949.10/x
  3. Step 3: Cross multiply
    180,541.76x = 249,127.49 × 99,949.10
  4. Step 4: Simplify right side
    180,541.76x = 24,900,066,665.38
  5. Step 5: Solve for x
    x = 24,900,066,665.38/180,541.76
  6. Step 6: Final answer
    x = 137,918.60

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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.