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Finding the Fourth Proportional to 257,496, 355,315.68 and 144,302.40

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Solution

The fourth proportional to 257,496, 355,315.68 and 144,302.40 is: 199,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,496 : 355,315.68 = 144,302.40 : x
  2. Step 2: Convert to fraction form
    257,496/355,315.68 = 144,302.40/x
  3. Step 3: Cross multiply
    257,496x = 355,315.68 × 144,302.40
  4. Step 4: Simplify right side
    257,496x = 51,272,905,381.63
  5. Step 5: Solve for x
    x = 51,272,905,381.63/257,496
  6. Step 6: Final answer
    x = 199,121.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.