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Finding the Fourth Proportional to 164,283.18, 226,710.63 and 88,831.50

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Solution

The fourth proportional to 164,283.18, 226,710.63 and 88,831.50 is: 122,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,283.18 : 226,710.63 = 88,831.50 : x
  2. Step 2: Convert to fraction form
    164,283.18/226,710.63 = 88,831.50/x
  3. Step 3: Cross multiply
    164,283.18x = 226,710.63 × 88,831.50
  4. Step 4: Simplify right side
    164,283.18x = 20,139,045,328.85
  5. Step 5: Solve for x
    x = 20,139,045,328.85/164,283.18
  6. Step 6: Final answer
    x = 122,587.38

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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.