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Finding the Fourth Proportional to 134,403.58, 185,447.16 and 77,782.15

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Solution

The fourth proportional to 134,403.58, 185,447.16 and 77,782.15 is: 107,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,403.58 : 185,447.16 = 77,782.15 : x
  2. Step 2: Convert to fraction form
    134,403.58/185,447.16 = 77,782.15/x
  3. Step 3: Cross multiply
    134,403.58x = 185,447.16 × 77,782.15
  4. Step 4: Simplify right side
    134,403.58x = 14,424,478,417.05
  5. Step 5: Solve for x
    x = 14,424,478,417.05/134,403.58
  6. Step 6: Final answer
    x = 107,322.13

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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.