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Finding the Fourth Proportional to 229,509, 316,715.40 and 127,533.96

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Solution

The fourth proportional to 229,509, 316,715.40 and 127,533.96 is: 175,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,509 : 316,715.40 = 127,533.96 : x
  2. Step 2: Convert to fraction form
    229,509/316,715.40 = 127,533.96/x
  3. Step 3: Cross multiply
    229,509x = 316,715.40 × 127,533.96
  4. Step 4: Simplify right side
    229,509x = 40,391,969,154.98
  5. Step 5: Solve for x
    x = 40,391,969,154.98/229,509
  6. Step 6: Final answer
    x = 175,992.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.