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Finding the Fourth Proportional to 153,536.49, 211,895.94 and 85,564.53

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Solution

The fourth proportional to 153,536.49, 211,895.94 and 85,564.53 is: 118,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,536.49 : 211,895.94 = 85,564.53 : x
  2. Step 2: Convert to fraction form
    153,536.49/211,895.94 = 85,564.53/x
  3. Step 3: Cross multiply
    153,536.49x = 211,895.94 × 85,564.53
  4. Step 4: Simplify right side
    153,536.49x = 18,130,776,515.01
  5. Step 5: Solve for x
    x = 18,130,776,515.01/153,536.49
  6. Step 6: Final answer
    x = 118,087.74

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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.