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Finding the Fourth Proportional to 116,598.96, 160,918.96 and 71,303.44

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Solution

The fourth proportional to 116,598.96, 160,918.96 and 71,303.44 is: 98,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,598.96 : 160,918.96 = 71,303.44 : x
  2. Step 2: Convert to fraction form
    116,598.96/160,918.96 = 71,303.44/x
  3. Step 3: Cross multiply
    116,598.96x = 160,918.96 × 71,303.44
  4. Step 4: Simplify right side
    116,598.96x = 11,474,075,409.22
  5. Step 5: Solve for x
    x = 11,474,075,409.22/116,598.96
  6. Step 6: Final answer
    x = 98,406.33

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1.5x scale

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.