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Finding the Fourth Proportional to 213,088.60, 319,341.30 and 141,808.60

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Solution

The fourth proportional to 213,088.60, 319,341.30 and 141,808.60 is: 212,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,088.60 : 319,341.30 = 141,808.60 : x
  2. Step 2: Convert to fraction form
    213,088.60/319,341.30 = 141,808.60/x
  3. Step 3: Cross multiply
    213,088.60x = 319,341.30 × 141,808.60
  4. Step 4: Simplify right side
    213,088.60x = 45,285,342,675.18
  5. Step 5: Solve for x
    x = 45,285,342,675.18/213,088.60
  6. Step 6: Final answer
    x = 212,518.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.