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Finding the Fourth Proportional to 142,717.32, 214,075.98 and 59,553

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Solution

The fourth proportional to 142,717.32, 214,075.98 and 59,553 is: 89,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,717.32 : 214,075.98 = 59,553 : x
  2. Step 2: Convert to fraction form
    142,717.32/214,075.98 = 59,553/x
  3. Step 3: Cross multiply
    142,717.32x = 214,075.98 × 59,553
  4. Step 4: Simplify right side
    142,717.32x = 12,748,866,836.94
  5. Step 5: Solve for x
    x = 12,748,866,836.94/142,717.32
  6. Step 6: Final answer
    x = 89,329.50

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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.