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Finding the Fourth Proportional to 229,313.98, 316,482.42 and 138,670.58

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Solution

The fourth proportional to 229,313.98, 316,482.42 and 138,670.58 is: 191,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,313.98 : 316,482.42 = 138,670.58 : x
  2. Step 2: Convert to fraction form
    229,313.98/316,482.42 = 138,670.58/x
  3. Step 3: Cross multiply
    229,313.98x = 316,482.42 × 138,670.58
  4. Step 4: Simplify right side
    229,313.98x = 43,886,800,741.20
  5. Step 5: Solve for x
    x = 43,886,800,741.20/229,313.98
  6. Step 6: Final answer
    x = 191,383.01

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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.