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Finding the Fourth Proportional to 260,733.40, 359,831.76 and 146,006.21

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Solution

The fourth proportional to 260,733.40, 359,831.76 and 146,006.21 is: 201,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,733.40 : 359,831.76 = 146,006.21 : x
  2. Step 2: Convert to fraction form
    260,733.40/359,831.76 = 146,006.21/x
  3. Step 3: Cross multiply
    260,733.40x = 359,831.76 × 146,006.21
  4. Step 4: Simplify right side
    260,733.40x = 52,537,671,515.23
  5. Step 5: Solve for x
    x = 52,537,671,515.23/260,733.40
  6. Step 6: Final answer
    x = 201,499.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.