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Finding the Fourth Proportional to 141,570, 212,387.85 and 48,075.84

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Solution

The fourth proportional to 141,570, 212,387.85 and 48,075.84 is: 72,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,570 : 212,387.85 = 48,075.84 : x
  2. Step 2: Convert to fraction form
    141,570/212,387.85 = 48,075.84/x
  3. Step 3: Cross multiply
    141,570x = 212,387.85 × 48,075.84
  4. Step 4: Simplify right side
    141,570x = 10,210,724,294.54
  5. Step 5: Solve for x
    x = 10,210,724,294.54/141,570
  6. Step 6: Final answer
    x = 72,124.92

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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.