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Finding the Fourth Proportional to 602,148.51, 903,223.17 and 152,903.07

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Solution

The fourth proportional to 602,148.51, 903,223.17 and 152,903.07 is: 229,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,148.51 : 903,223.17 = 152,903.07 : x
  2. Step 2: Convert to fraction form
    602,148.51/903,223.17 = 152,903.07/x
  3. Step 3: Cross multiply
    602,148.51x = 903,223.17 × 152,903.07
  4. Step 4: Simplify right side
    602,148.51x = 138,105,595,588.13
  5. Step 5: Solve for x
    x = 138,105,595,588.13/602,148.51
  6. Step 6: Final answer
    x = 229,354.71

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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.