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Finding the Fourth Proportional to 210,095.40, 314,880.30 and 104,943.72

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Solution

The fourth proportional to 210,095.40, 314,880.30 and 104,943.72 is: 157,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,095.40 : 314,880.30 = 104,943.72 : x
  2. Step 2: Convert to fraction form
    210,095.40/314,880.30 = 104,943.72/x
  3. Step 3: Cross multiply
    210,095.40x = 314,880.30 × 104,943.72
  4. Step 4: Simplify right side
    210,095.40x = 33,044,710,036.72
  5. Step 5: Solve for x
    x = 33,044,710,036.72/210,095.40
  6. Step 6: Final answer
    x = 157,284.31

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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.