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Finding the Fourth Proportional to 160,465.44, 221,307.78 and 103,114.08

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Solution

The fourth proportional to 160,465.44, 221,307.78 and 103,114.08 is: 142,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,465.44 : 221,307.78 = 103,114.08 : x
  2. Step 2: Convert to fraction form
    160,465.44/221,307.78 = 103,114.08/x
  3. Step 3: Cross multiply
    160,465.44x = 221,307.78 × 103,114.08
  4. Step 4: Simplify right side
    160,465.44x = 22,819,948,131.54
  5. Step 5: Solve for x
    x = 22,819,948,131.54/160,465.44
  6. Step 6: Final answer
    x = 142,210.98

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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.