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Finding the Fourth Proportional to 141,444.64, 195,195 and 77,782.88

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Solution

The fourth proportional to 141,444.64, 195,195 and 77,782.88 is: 107,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,444.64 : 195,195 = 77,782.88 : x
  2. Step 2: Convert to fraction form
    141,444.64/195,195 = 77,782.88/x
  3. Step 3: Cross multiply
    141,444.64x = 195,195 × 77,782.88
  4. Step 4: Simplify right side
    141,444.64x = 15,182,829,261.60
  5. Step 5: Solve for x
    x = 15,182,829,261.60/141,444.64
  6. Step 6: Final answer
    x = 107,341.14

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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.