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Finding the Fourth Proportional to 114,117.66, 157,464 and 71,733.60

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Solution

The fourth proportional to 114,117.66, 157,464 and 71,733.60 is: 98,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,117.66 : 157,464 = 71,733.60 : x
  2. Step 2: Convert to fraction form
    114,117.66/157,464 = 71,733.60/x
  3. Step 3: Cross multiply
    114,117.66x = 157,464 × 71,733.60
  4. Step 4: Simplify right side
    114,117.66x = 11,295,459,590.40
  5. Step 5: Solve for x
    x = 11,295,459,590.40/114,117.66
  6. Step 6: Final answer
    x = 98,980.82

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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.