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Finding the Fourth Proportional to 152,423.61, 210,357.51 and 84,461.91

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Solution

The fourth proportional to 152,423.61, 210,357.51 and 84,461.91 is: 116,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,423.61 : 210,357.51 = 84,461.91 : x
  2. Step 2: Convert to fraction form
    152,423.61/210,357.51 = 84,461.91/x
  3. Step 3: Cross multiply
    152,423.61x = 210,357.51 × 84,461.91
  4. Step 4: Simplify right side
    152,423.61x = 17,767,195,971.87
  5. Step 5: Solve for x
    x = 17,767,195,971.87/152,423.61
  6. Step 6: Final answer
    x = 116,564.60

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Why These Related Problems?

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