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Finding the Fourth Proportional to 258,970.66, 357,397.45 and 157,000.37

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Solution

The fourth proportional to 258,970.66, 357,397.45 and 157,000.37 is: 216,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,970.66 : 357,397.45 = 157,000.37 : x
  2. Step 2: Convert to fraction form
    258,970.66/357,397.45 = 157,000.37/x
  3. Step 3: Cross multiply
    258,970.66x = 357,397.45 × 157,000.37
  4. Step 4: Simplify right side
    258,970.66x = 56,111,529,707.57
  5. Step 5: Solve for x
    x = 56,111,529,707.57/258,970.66
  6. Step 6: Final answer
    x = 216,671.38

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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.