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Finding the Fourth Proportional to 157,509, 236,263.50 and 40,773

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Solution

The fourth proportional to 157,509, 236,263.50 and 40,773 is: 61,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,509 : 236,263.50 = 40,773 : x
  2. Step 2: Convert to fraction form
    157,509/236,263.50 = 40,773/x
  3. Step 3: Cross multiply
    157,509x = 236,263.50 × 40,773
  4. Step 4: Simplify right side
    157,509x = 9,633,171,685.50
  5. Step 5: Solve for x
    x = 9,633,171,685.50/157,509
  6. Step 6: Final answer
    x = 61,159.50

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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.