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Finding the Fourth Proportional to 602,189.76, 903,285.05 and 152,944.32

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Solution

The fourth proportional to 602,189.76, 903,285.05 and 152,944.32 is: 229,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,189.76 : 903,285.05 = 152,944.32 : x
  2. Step 2: Convert to fraction form
    602,189.76/903,285.05 = 152,944.32/x
  3. Step 3: Cross multiply
    602,189.76x = 903,285.05 × 152,944.32
  4. Step 4: Simplify right side
    602,189.76x = 138,152,316,973.69
  5. Step 5: Solve for x
    x = 138,152,316,973.69/602,189.76
  6. Step 6: Final answer
    x = 229,416.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.