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Finding the Fourth Proportional to 287,124.44, 430,726.05 and 97,533.90

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Solution

The fourth proportional to 287,124.44, 430,726.05 and 97,533.90 is: 146,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,124.44 : 430,726.05 = 97,533.90 : x
  2. Step 2: Convert to fraction form
    287,124.44/430,726.05 = 97,533.90/x
  3. Step 3: Cross multiply
    287,124.44x = 430,726.05 × 97,533.90
  4. Step 4: Simplify right side
    287,124.44x = 42,010,391,488.10
  5. Step 5: Solve for x
    x = 42,010,391,488.10/287,124.44
  6. Step 6: Final answer
    x = 146,314.23

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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.