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Finding the Fourth Proportional to 173,335, 260,002.50 and 42,007

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Solution

The fourth proportional to 173,335, 260,002.50 and 42,007 is: 63,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,335 : 260,002.50 = 42,007 : x
  2. Step 2: Convert to fraction form
    173,335/260,002.50 = 42,007/x
  3. Step 3: Cross multiply
    173,335x = 260,002.50 × 42,007
  4. Step 4: Simplify right side
    173,335x = 10,921,925,017.50
  5. Step 5: Solve for x
    x = 10,921,925,017.50/173,335
  6. Step 6: Final answer
    x = 63,010.50

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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.