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Finding the Fourth Proportional to 190,557.60, 262,985.64 and 105,702

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Solution

The fourth proportional to 190,557.60, 262,985.64 and 105,702 is: 145,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,557.60 : 262,985.64 = 105,702 : x
  2. Step 2: Convert to fraction form
    190,557.60/262,985.64 = 105,702/x
  3. Step 3: Cross multiply
    190,557.60x = 262,985.64 × 105,702
  4. Step 4: Simplify right side
    190,557.60x = 27,798,108,119.28
  5. Step 5: Solve for x
    x = 27,798,108,119.28/190,557.60
  6. Step 6: Final answer
    x = 145,877.72

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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.