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Finding the Fourth Proportional to 103,957.32, 143,461.02 and 56,210.64

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Solution

The fourth proportional to 103,957.32, 143,461.02 and 56,210.64 is: 77,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,957.32 : 143,461.02 = 56,210.64 : x
  2. Step 2: Convert to fraction form
    103,957.32/143,461.02 = 56,210.64/x
  3. Step 3: Cross multiply
    103,957.32x = 143,461.02 × 56,210.64
  4. Step 4: Simplify right side
    103,957.32x = 8,064,035,749.25
  5. Step 5: Solve for x
    x = 8,064,035,749.25/103,957.32
  6. Step 6: Final answer
    x = 77,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.