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Finding the Fourth Proportional to 180,495.50, 249,087.82 and 98,831.50

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Solution

The fourth proportional to 180,495.50, 249,087.82 and 98,831.50 is: 136,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,495.50 : 249,087.82 = 98,831.50 : x
  2. Step 2: Convert to fraction form
    180,495.50/249,087.82 = 98,831.50/x
  3. Step 3: Cross multiply
    180,495.50x = 249,087.82 × 98,831.50
  4. Step 4: Simplify right side
    180,495.50x = 24,617,722,882.33
  5. Step 5: Solve for x
    x = 24,617,722,882.33/180,495.50
  6. Step 6: Final answer
    x = 136,389.68

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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.