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Finding the Fourth Proportional to 233,681.84, 350,419.08 and 144,931.76

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Solution

The fourth proportional to 233,681.84, 350,419.08 and 144,931.76 is: 217,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,681.84 : 350,419.08 = 144,931.76 : x
  2. Step 2: Convert to fraction form
    233,681.84/350,419.08 = 144,931.76/x
  3. Step 3: Cross multiply
    233,681.84x = 350,419.08 × 144,931.76
  4. Step 4: Simplify right side
    233,681.84x = 50,786,854,001.98
  5. Step 5: Solve for x
    x = 50,786,854,001.98/233,681.84
  6. Step 6: Final answer
    x = 217,333.34

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1.5x scale

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.