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Finding the Fourth Proportional to 209,989.80, 314,984.70 and 157,501.80

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Solution

The fourth proportional to 209,989.80, 314,984.70 and 157,501.80 is: 236,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,989.80 : 314,984.70 = 157,501.80 : x
  2. Step 2: Convert to fraction form
    209,989.80/314,984.70 = 157,501.80/x
  3. Step 3: Cross multiply
    209,989.80x = 314,984.70 × 157,501.80
  4. Step 4: Simplify right side
    209,989.80x = 49,610,657,222.46
  5. Step 5: Solve for x
    x = 49,610,657,222.46/209,989.80
  6. Step 6: Final answer
    x = 236,252.70

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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.