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Finding the Fourth Proportional to 229,156.83, 343,602.02 and 153,342.01

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Solution

The fourth proportional to 229,156.83, 343,602.02 and 153,342.01 is: 229,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,156.83 : 343,602.02 = 153,342.01 : x
  2. Step 2: Convert to fraction form
    229,156.83/343,602.02 = 153,342.01/x
  3. Step 3: Cross multiply
    229,156.83x = 343,602.02 × 153,342.01
  4. Step 4: Simplify right side
    229,156.83x = 52,688,624,386.86
  5. Step 5: Solve for x
    x = 52,688,624,386.86/229,156.83
  6. Step 6: Final answer
    x = 229,923.87

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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.