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Finding the Fourth Proportional to 141,362.61, 195,075.45 and 77,700

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Solution

The fourth proportional to 141,362.61, 195,075.45 and 77,700 is: 107,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,362.61 : 195,075.45 = 77,700 : x
  2. Step 2: Convert to fraction form
    141,362.61/195,075.45 = 77,700/x
  3. Step 3: Cross multiply
    141,362.61x = 195,075.45 × 77,700
  4. Step 4: Simplify right side
    141,362.61x = 15,157,362,465
  5. Step 5: Solve for x
    x = 15,157,362,465/141,362.61
  6. Step 6: Final answer
    x = 107,223.28

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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.