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Finding the Fourth Proportional to 357,924.12, 537,275.21 and 144,838.72

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Solution

The fourth proportional to 357,924.12, 537,275.21 and 144,838.72 is: 217,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,924.12 : 537,275.21 = 144,838.72 : x
  2. Step 2: Convert to fraction form
    357,924.12/537,275.21 = 144,838.72/x
  3. Step 3: Cross multiply
    357,924.12x = 537,275.21 × 144,838.72
  4. Step 4: Simplify right side
    357,924.12x = 77,818,251,444.08
  5. Step 5: Solve for x
    x = 77,818,251,444.08/357,924.12
  6. Step 6: Final answer
    x = 217,415.50

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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.