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Finding the Fourth Proportional to 229,415.45, 316,643.92 and 127,475.93

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Solution

The fourth proportional to 229,415.45, 316,643.92 and 127,475.93 is: 175,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,415.45 : 316,643.92 = 127,475.93 : x
  2. Step 2: Convert to fraction form
    229,415.45/316,643.92 = 127,475.93/x
  3. Step 3: Cross multiply
    229,415.45x = 316,643.92 × 127,475.93
  4. Step 4: Simplify right side
    229,415.45x = 40,364,477,543.47
  5. Step 5: Solve for x
    x = 40,364,477,543.47/229,415.45
  6. Step 6: Final answer
    x = 175,944.90

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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.