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Finding the Fourth Proportional to 208,056.40, 312,041.40 and 89,731.60

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Solution

The fourth proportional to 208,056.40, 312,041.40 and 89,731.60 is: 134,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056.40 : 312,041.40 = 89,731.60 : x
  2. Step 2: Convert to fraction form
    208,056.40/312,041.40 = 89,731.60/x
  3. Step 3: Cross multiply
    208,056.40x = 312,041.40 × 89,731.60
  4. Step 4: Simplify right side
    208,056.40x = 27,999,974,088.24
  5. Step 5: Solve for x
    x = 27,999,974,088.24/208,056.40
  6. Step 6: Final answer
    x = 134,578.77

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Why These Related Problems?

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