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Finding the Fourth Proportional to 229,567.37, 316,865.52 and 148,990.19

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Solution

The fourth proportional to 229,567.37, 316,865.52 and 148,990.19 is: 205,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,567.37 : 316,865.52 = 148,990.19 : x
  2. Step 2: Convert to fraction form
    229,567.37/316,865.52 = 148,990.19/x
  3. Step 3: Cross multiply
    229,567.37x = 316,865.52 × 148,990.19
  4. Step 4: Simplify right side
    229,567.37x = 47,209,852,444.92
  5. Step 5: Solve for x
    x = 47,209,852,444.92/229,567.37
  6. Step 6: Final answer
    x = 205,647.05

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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.