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Finding the Fourth Proportional to 214,307.36, 295,738.80 and 118,813.76

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Solution

The fourth proportional to 214,307.36, 295,738.80 and 118,813.76 is: 163,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,307.36 : 295,738.80 = 118,813.76 : x
  2. Step 2: Convert to fraction form
    214,307.36/295,738.80 = 118,813.76/x
  3. Step 3: Cross multiply
    214,307.36x = 295,738.80 × 118,813.76
  4. Step 4: Simplify right side
    214,307.36x = 35,137,838,805.89
  5. Step 5: Solve for x
    x = 35,137,838,805.89/214,307.36
  6. Step 6: Final answer
    x = 163,960.02

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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.