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Finding the Fourth Proportional to 216,795.84, 298,773 and 156,261.84

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Solution

The fourth proportional to 216,795.84, 298,773 and 156,261.84 is: 215,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,795.84 : 298,773 = 156,261.84 : x
  2. Step 2: Convert to fraction form
    216,795.84/298,773 = 156,261.84/x
  3. Step 3: Cross multiply
    216,795.84x = 298,773 × 156,261.84
  4. Step 4: Simplify right side
    216,795.84x = 46,686,818,722.32
  5. Step 5: Solve for x
    x = 46,686,818,722.32/216,795.84
  6. Step 6: Final answer
    x = 215,349.24

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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.