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Finding the Fourth Proportional to 602,159.76, 903,240.05 and 152,914.32

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Solution

The fourth proportional to 602,159.76, 903,240.05 and 152,914.32 is: 229,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,159.76 : 903,240.05 = 152,914.32 : x
  2. Step 2: Convert to fraction form
    602,159.76/903,240.05 = 152,914.32/x
  3. Step 3: Cross multiply
    602,159.76x = 903,240.05 × 152,914.32
  4. Step 4: Simplify right side
    602,159.76x = 138,118,337,277.94
  5. Step 5: Solve for x
    x = 138,118,337,277.94/602,159.76
  6. Step 6: Final answer
    x = 229,371.58

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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.