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Finding the Fourth Proportional to 166,451.09, 249,713.64 and 77,656.16

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Solution

The fourth proportional to 166,451.09, 249,713.64 and 77,656.16 is: 116,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,451.09 : 249,713.64 = 77,656.16 : x
  2. Step 2: Convert to fraction form
    166,451.09/249,713.64 = 77,656.16/x
  3. Step 3: Cross multiply
    166,451.09x = 249,713.64 × 77,656.16
  4. Step 4: Simplify right side
    166,451.09x = 19,391,801,133.45
  5. Step 5: Solve for x
    x = 19,391,801,133.45/166,451.09
  6. Step 6: Final answer
    x = 116,501.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.