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Finding the Fourth Proportional to 157,854, 236,822.04 and 47,046

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Solution

The fourth proportional to 157,854, 236,822.04 and 47,046 is: 70,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854 : 236,822.04 = 47,046 : x
  2. Step 2: Convert to fraction form
    157,854/236,822.04 = 47,046/x
  3. Step 3: Cross multiply
    157,854x = 236,822.04 × 47,046
  4. Step 4: Simplify right side
    157,854x = 11,141,529,693.84
  5. Step 5: Solve for x
    x = 11,141,529,693.84/157,854
  6. Step 6: Final answer
    x = 70,581.23

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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.