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Finding the Fourth Proportional to 180,448.36, 249,013.74 and 99,873.88

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Solution

The fourth proportional to 180,448.36, 249,013.74 and 99,873.88 is: 137,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,448.36 : 249,013.74 = 99,873.88 : x
  2. Step 2: Convert to fraction form
    180,448.36/249,013.74 = 99,873.88/x
  3. Step 3: Cross multiply
    180,448.36x = 249,013.74 × 99,873.88
  4. Step 4: Simplify right side
    180,448.36x = 24,869,968,387.11
  5. Step 5: Solve for x
    x = 24,869,968,387.11/180,448.36
  6. Step 6: Final answer
    x = 137,823.19

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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.