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Finding the Fourth Proportional to 102,475, 141,415.50 and 55,371

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Solution

The fourth proportional to 102,475, 141,415.50 and 55,371 is: 76,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,475 : 141,415.50 = 55,371 : x
  2. Step 2: Convert to fraction form
    102,475/141,415.50 = 55,371/x
  3. Step 3: Cross multiply
    102,475x = 141,415.50 × 55,371
  4. Step 4: Simplify right side
    102,475x = 7,830,317,650.50
  5. Step 5: Solve for x
    x = 7,830,317,650.50/102,475
  6. Step 6: Final answer
    x = 76,411.98

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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.