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Finding the Fourth Proportional to 190,925, 286,315.50 and 153,392.84

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Solution

The fourth proportional to 190,925, 286,315.50 and 153,392.84 is: 230,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,925 : 286,315.50 = 153,392.84 : x
  2. Step 2: Convert to fraction form
    190,925/286,315.50 = 153,392.84/x
  3. Step 3: Cross multiply
    190,925x = 286,315.50 × 153,392.84
  4. Step 4: Simplify right side
    190,925x = 43,918,747,681.02
  5. Step 5: Solve for x
    x = 43,918,747,681.02/190,925
  6. Step 6: Final answer
    x = 230,031.41

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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.