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Finding the Fourth Proportional to 180,458.94, 249,033.81 and 99,892.02

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Solution

The fourth proportional to 180,458.94, 249,033.81 and 99,892.02 is: 137,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,458.94 : 249,033.81 = 99,892.02 : x
  2. Step 2: Convert to fraction form
    180,458.94/249,033.81 = 99,892.02/x
  3. Step 3: Cross multiply
    180,458.94x = 249,033.81 × 99,892.02
  4. Step 4: Simplify right side
    180,458.94x = 24,876,490,329.20
  5. Step 5: Solve for x
    x = 24,876,490,329.20/180,458.94
  6. Step 6: Final answer
    x = 137,851.25

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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.