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Finding the Fourth Proportional to 157,564.98, 236,347.35 and 46,756.98

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Solution

The fourth proportional to 157,564.98, 236,347.35 and 46,756.98 is: 70,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564.98 : 236,347.35 = 46,756.98 : x
  2. Step 2: Convert to fraction form
    157,564.98/236,347.35 = 46,756.98/x
  3. Step 3: Cross multiply
    157,564.98x = 236,347.35 × 46,756.98
  4. Step 4: Simplify right side
    157,564.98x = 11,050,888,317.00
  5. Step 5: Solve for x
    x = 11,050,888,317.00/157,564.98
  6. Step 6: Final answer
    x = 70,135.43

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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.