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Finding the Fourth Proportional to 153,802.23, 230,701.95 and 48,621.23

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Solution

The fourth proportional to 153,802.23, 230,701.95 and 48,621.23 is: 72,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,802.23 : 230,701.95 = 48,621.23 : x
  2. Step 2: Convert to fraction form
    153,802.23/230,701.95 = 48,621.23/x
  3. Step 3: Cross multiply
    153,802.23x = 230,701.95 × 48,621.23
  4. Step 4: Simplify right side
    153,802.23x = 11,217,011,418.89
  5. Step 5: Solve for x
    x = 11,217,011,418.89/153,802.23
  6. Step 6: Final answer
    x = 72,931.40

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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.