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Finding the Fourth Proportional to 153,038.98, 229,522.02 and 64,294.21

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Solution

The fourth proportional to 153,038.98, 229,522.02 and 64,294.21 is: 96,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,038.98 : 229,522.02 = 64,294.21 : x
  2. Step 2: Convert to fraction form
    153,038.98/229,522.02 = 64,294.21/x
  3. Step 3: Cross multiply
    153,038.98x = 229,522.02 × 64,294.21
  4. Step 4: Simplify right side
    153,038.98x = 14,756,936,953.50
  5. Step 5: Solve for x
    x = 14,756,936,953.50/153,038.98
  6. Step 6: Final answer
    x = 96,426.00

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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.