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Finding the Fourth Proportional to 145,810.10, 218,715.15 and 47,314.10

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Solution

The fourth proportional to 145,810.10, 218,715.15 and 47,314.10 is: 70,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810.10 : 218,715.15 = 47,314.10 : x
  2. Step 2: Convert to fraction form
    145,810.10/218,715.15 = 47,314.10/x
  3. Step 3: Cross multiply
    145,810.10x = 218,715.15 × 47,314.10
  4. Step 4: Simplify right side
    145,810.10x = 10,348,310,478.62
  5. Step 5: Solve for x
    x = 10,348,310,478.62/145,810.10
  6. Step 6: Final answer
    x = 70,971.15

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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.