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Finding the Fourth Proportional to 142,303, 196,361.40 and 78,637

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Solution

The fourth proportional to 142,303, 196,361.40 and 78,637 is: 108,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,303 : 196,361.40 = 78,637 : x
  2. Step 2: Convert to fraction form
    142,303/196,361.40 = 78,637/x
  3. Step 3: Cross multiply
    142,303x = 196,361.40 × 78,637
  4. Step 4: Simplify right side
    142,303x = 15,441,271,411.80
  5. Step 5: Solve for x
    x = 15,441,271,411.80/142,303
  6. Step 6: Final answer
    x = 108,509.81

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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.