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Finding the Fourth Proportional to 295,045.02, 407,157.75 and 165,973.74

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Solution

The fourth proportional to 295,045.02, 407,157.75 and 165,973.74 is: 229,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,045.02 : 407,157.75 = 165,973.74 : x
  2. Step 2: Convert to fraction form
    295,045.02/407,157.75 = 165,973.74/x
  3. Step 3: Cross multiply
    295,045.02x = 407,157.75 × 165,973.74
  4. Step 4: Simplify right side
    295,045.02x = 67,577,494,537.49
  5. Step 5: Solve for x
    x = 67,577,494,537.49/295,045.02
  6. Step 6: Final answer
    x = 229,041.30

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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.