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Finding the Fourth Proportional to 96,021.40, 144,032.10 and 96,021.40

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Solution

The fourth proportional to 96,021.40, 144,032.10 and 96,021.40 is: 144,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,021.40 : 144,032.10 = 96,021.40 : x
  2. Step 2: Convert to fraction form
    96,021.40/144,032.10 = 96,021.40/x
  3. Step 3: Cross multiply
    96,021.40x = 144,032.10 × 96,021.40
  4. Step 4: Simplify right side
    96,021.40x = 13,830,163,886.94
  5. Step 5: Solve for x
    x = 13,830,163,886.94/96,021.40
  6. Step 6: Final answer
    x = 144,032.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.