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Finding the Fourth Proportional to 118,830, 163,985.40 and 71,085.36

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Solution

The fourth proportional to 118,830, 163,985.40 and 71,085.36 is: 98,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,830 : 163,985.40 = 71,085.36 : x
  2. Step 2: Convert to fraction form
    118,830/163,985.40 = 71,085.36/x
  3. Step 3: Cross multiply
    118,830x = 163,985.40 × 71,085.36
  4. Step 4: Simplify right side
    118,830x = 11,656,961,193.74
  5. Step 5: Solve for x
    x = 11,656,961,193.74/118,830
  6. Step 6: Final answer
    x = 98,097.80

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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.